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100243220331033 = 321331839172119141
BaseRepresentation
bin10110110010101110110001…
…100010011111101000011001
3111010221011021101021111222100
4112302232301202133220121
5101114341103401043113
6553111033310314013
730054222306635253
oct2662566142375031
9433834241244870
10100243220331033
1129a38a025a581a
12b2ab9837b8909
1343c1b837541a0
141aa7b2505ccd3
15b8c8522e2d73
hex5b2bb189fa19

100243220331033 has 96 divisors (see below), whose sum is σ = 161257941411840. Its totient is φ = 59589281664000.

The previous prime is 100243220331019. The next prime is 100243220331053. The reversal of 100243220331033 is 330133022342001.

100243220331033 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 322 + 0 + 331 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 100243220331033 - 24 = 100243220331017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100243220330988 and 100243220331006.

It is not an unprimeable number, because it can be changed into a prime (100243220331053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5237084643 + ... + 5237103783.

It is an arithmetic number, because the mean of its divisors is an integer number (1679770223040).

Almost surely, 2100243220331033 is an apocalyptic number.

100243220331033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100243220331033 is a deficient number, since it is larger than the sum of its proper divisors (61014721080807).

100243220331033 is a wasteful number, since it uses less digits than its factorization.

100243220331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21751 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100243220331033 its reverse (330133022342001), we get a palindrome (430376242673034).

The spelling of 100243220331033 in words is "one hundred trillion, two hundred forty-three billion, two hundred twenty million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 839 1209 1721 2517 3627 5163 7551 10907 15489 19141 22373 26009 32721 53351 57423 67119 78027 98163 160053 172269 201357 234081 248833 338117 480159 593371 693563 746499 1014351 1443919 1780113 2080689 2239497 3043053 4331757 5340339 6242067 7713823 12995271 16059299 18770947 23141469 32941661 44761489 48177897 56312841 69424407 98824983 134284467 144533691 168938523 208770887 296474949 402853401 428241593 497838269 581899357 626312661 1021191491 1284724779 1493514807 1745698071 1878937983 3063574473 3854174337 4480544421 5237094213 6471897497 9190723419 13275489383 19415692491 27638053579 39826468149 58247077473 82914160737 119479404447 248742482211 359294696527 856779660949 1077884089581 2570338982847 3233652268743 7711016948541 11138135592337 33414406777011 100243220331033