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323033010012020 = 225711223838002201
BaseRepresentation
bin100100101110010111111101…
…1110011111111111101110100
31120100202122122212211201120202
41021130233323303333331310
5314320033101030341040
63103011152141020032
7125020236061320140
oct11134577363777564
91510678585751522
10323033010012020
1193a23591775900
1230291b65554618
1310b32b6108c229
1459aac49a86220
152752c6ae33015
hex125cbfbcfff74

323033010012020 has 144 divisors (see below), whose sum is σ = 852524128694784. Its totient is φ = 100643349312000.

The previous prime is 323033010011951. The next prime is 323033010012023. The reversal of 323033010012020 is 20210010330323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323033010011983 and 323033010012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323033010012023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36366920 + ... + 44369120.

Almost surely, 2323033010012020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323033010012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426262064347392).

323033010012020 is an abundant number, since it is smaller than the sum of its proper divisors (529491118682764).

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

323033010012020 is a wasteful number, since it uses less digits than its factorization.

323033010012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004622 (or 8004609 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 323033010012020 its reverse (20210010330323), we get a palindrome (343243020342343).

The spelling of 323033010012020 in words is "three hundred twenty-three trillion, thirty-three billion, ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2383 2420 3388 4235 4766 8470 9532 11915 16681 16940 23830 26213 33362 47660 52426 66724 83405 104852 131065 166810 183491 262130 288343 333620 366982 524260 576686 733964 917455 1153372 1441715 1834910 2018401 2883430 3669820 4036802 5766860 8002201 8073604 10092005 16004402 20184010 32008804 40011005 40368020 56015407 80022010 88024211 112030814 160044020 176048422 224061628 280077035 352096844 440121055 560154070 616169477 880242110 968266321 1120308140 1232338954 1760484220 1936532642 2464677908 3080847385 3873065284 4841331605 6161694770 6777864247 9682663210 12323389540 13555728494 19069244983 19365326420 27111456988 33889321235 38138489966 67778642470 76276979932 95346224915 133484714881 135557284940 190692449830 209761694813 266969429762 381384899660 419523389626 533938859524 667423574405 839046779252 1048808474065 1334847148810 1468331863691 2097616948130 2307378642943 2669694297620 2936663727382 4195233896260 4614757285886 5873327454764 7341659318455 9229514571772 11536893214715 14683318636910 16151650500601 23073786429430 29366637273820 32303301001202 46147572858860 64606602002404 80758252503005 161516505006010 323033010012020