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332210300100030 = 234511193193187081
BaseRepresentation
bin100101110001001001011110…
…0111011011001110110111110
31121120020222212000020011210000
41023202102330323121312332
5322020413143311200110
63134315145513255130
7126655254634060452
oct11342227473316676
91546228760204700
10332210300100030
119694166277a120
12313146b94044a6
131134a3b2319231
145c070c86b4662
152861843e761c0
hex12e24bced9dbe

332210300100030 has 160 divisors (see below), whose sum is σ = 979532689579488. Its totient is φ = 80118545817600.

The previous prime is 332210300100011. The next prime is 332210300100067. The reversal of 332210300100030 is 30001003012233.

332210300100030 is a `hidden beast` number, since 3 + 322 + 1 + 0 + 300 + 10 + 0 + 0 + 30 = 666.

It is a super-2 number, since 2×3322103001000302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332210300099976 and 332210300100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94873911 + ... + 98313170.

Almost surely, 2332210300100030 is an apocalyptic number.

332210300100030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332210300100030 is an abundant number, since it is smaller than the sum of its proper divisors (647322389479458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332210300100030 is a wasteful number, since it uses less digits than its factorization.

332210300100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193187304 (or 193187295 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332210300100030 its reverse (30001003012233), we get a palindrome (362211303112263).

The spelling of 332210300100030 in words is "three hundred thirty-two trillion, two hundred ten billion, three hundred million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 193 198 270 297 330 386 405 495 579 594 810 891 965 990 1158 1485 1737 1782 1930 2123 2895 2970 3474 4246 4455 5211 5790 6369 8685 8910 10422 10615 12738 15633 17370 19107 21230 26055 31266 31845 38214 52110 57321 63690 78165 95535 114642 156330 171963 191070 286605 343926 573210 859815 1719630 193187081 386374162 579561243 965935405 1159122486 1738683729 1931870810 2125057891 2897806215 3477367458 4250115782 5216051187 5795612430 6375173673 8693418645 10432102374 10625289455 12750347346 15648153561 17386837290 19125521019 21250578910 26080255935 31296307122 31875868365 37285106633 38251042038 52160511870 57376563057 63751736730 74570213266 78240767805 95627605095 111855319899 114753126114 156481535610 172129689171 186425533165 191255210190 223710639798 286882815285 335565959697 344259378342 372851066330 410136172963 559276599495 573765630570 671131919394 820272345926 860648445855 1006697879091 1118553198990 1230408518889 1677829798485 1721296891710 2013395758182 2050680864815 2460817037778 3020093637273 3355659596970 3691225556667 4101361729630 5033489395455 6040187274546 6152042594445 7382451113334 10066978790910 11073676670001 12304085188890 15100468186365 18456127783335 22147353340002 30200936372730 33221030010003 36912255566670 55368383350005 66442060020006 110736766700010 166105150050015 332210300100030