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21031120300113 = 32721119673339049
BaseRepresentation
bin1001100100000101100000…
…11101000110100001010001
32202110112222221012222100200
410302002300131012201101
510224033213244100423
6112421321400405413
74300306523661600
oct462026035064121
982415887188320
1021031120300113
116779280147020
122437b7b776869
13b972c2a82231
14529ca9813a37
1526710376bd43
hex1320b0746851

21031120300113 has 144 divisors (see below), whose sum is σ = 40639943448000. Its totient is φ = 10334834012160.

The previous prime is 21031120300111. The next prime is 21031120300133. The reversal of 21031120300113 is 31100302113012.

21031120300113 is a `hidden beast` number, since 21 + 0 + 311 + 20 + 300 + 1 + 13 = 666.

It is not a de Polignac number, because 21031120300113 - 21 = 21031120300111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21031120300111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61860213 + ... + 62199261.

It is an arithmetic number, because the mean of its divisors is an integer number (282221829500).

Almost surely, 221031120300113 is an apocalyptic number.

It is an amenable number.

21031120300113 is a deficient number, since it is larger than the sum of its proper divisors (19608823147887).

21031120300113 is a wasteful number, since it uses less digits than its factorization.

21031120300113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339772 (or 339762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21031120300113 its reverse (31100302113012), we get a palindrome (52131422413125).

The spelling of 21031120300113 in words is "twenty-one trillion, thirty-one billion, one hundred twenty million, three hundred thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 209 231 399 441 539 627 673 693 931 1197 1463 1617 1881 2019 2793 4389 4711 4851 6057 7403 8379 10241 12787 13167 14133 22209 30723 32977 38361 42399 51821 66627 89509 92169 98931 115083 140657 155463 268527 296793 339049 362747 421971 466389 626563 805581 984599 1017147 1088241 1265913 1879689 2373343 2953797 3051441 3264723 3729539 5639067 6441931 6892193 7120029 8861391 11188617 16613401 19325793 20676579 21360087 26106773 33565851 45093517 49840203 57977379 62029737 70861241 78320319 135280551 149520609 182747411 212583723 228179977 234960957 315654619 405841653 496028687 548242233 637751169 684539931 946963857 1488086061 1597259839 1644726699 2053619793 2509979747 2840891571 3472200809 4335419563 4464258183 4791779517 7529939241 10416602427 11180818873 13006258689 14375338551 17569858229 22589817723 30347936941 31249807281 33542456619 39018776067 47689615193 52709574687 91043810823 100627369857 122989007603 143068845579 158128724061 212435558587 273131432469 333827306351 368967022809 429206536737 637306675761 1001481919053 1106901068427 1911920027283 2336791144457 3004445757159 7010373433371 21031120300113