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103300231330120 = 235114112343463921
BaseRepresentation
bin10111011111001101110101…
…100101111111100101001000
3111112202101221201210121202011
4113133031311211333211020
5102014432333210030440
61003411245433345304
730521124013454566
oct2737156545774510
9445671851717664
10103300231330120
112aa07422610970
12b70433a568234
1345842296ab276
141b71a87866a36
15be2121b699ea
hex5df37597f948

103300231330120 has 128 divisors (see below), whose sum is σ = 259760987700480. Its totient is φ = 36644484096000.

The previous prime is 103300231330103. The next prime is 103300231330133. The reversal of 103300231330120 is 21033132003301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103300231330091 and 103300231330100.

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 31 ways as a sum of consecutive naturals, for example, 222435760 + ... + 222899680.

It is an arithmetic number, because the mean of its divisors is an integer number (2029382716410).

Almost surely, 2103300231330120 is an apocalyptic number.

103300231330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103300231330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129880493850240).

103300231330120 is an abundant number, since it is smaller than the sum of its proper divisors (156460756370360).

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

103300231330120 is a wasteful number, since it uses less digits than its factorization.

103300231330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476327 (or 476323 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103300231330120 its reverse (21033132003301), we get a palindrome (124333363333421).

The spelling of 103300231330120 in words is "one hundred three trillion, three hundred billion, two hundred thirty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 12343 18040 24686 49372 61715 98744 123430 135773 246860 271546 463921 493720 506063 543092 678865 927842 1012126 1086184 1357730 1855684 2024252 2319605 2530315 2715460 3711368 4048504 4639210 5060630 5103131 5430920 5566693 9278420 10121260 10206262 11133386 18556840 19020761 20242520 20412524 22266772 25515655 27833465 38041522 40825048 44533544 51031310 55666930 76083044 95103805 102062620 111333860 152166088 190207610 204125240 209228371 222667720 380415220 418456742 760830440 836913484 1046141855 1673826968 2092283710 4184567420 5726176903 8369134840 11452353806 22904707612 28630884515 45809415224 57261769030 62987945933 114523538060 125975891866 229047076120 234773253023 251951783732 314939729665 469546506046 503903567464 629879459330 939093012092 1173866265115 1259758918660 1878186024184 2347732530230 2519517837320 2582505783253 4695465060460 5165011566506 9390930120920 10330023133012 12912528916265 20660046266024 25825057832530 51650115665060 103300231330120