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21312013233330 = 23252243445723687
BaseRepresentation
bin1001101100010000101101…
…11110100110110010110010
32210110102000211211102221200
410312020112332212302302
510243134000341431310
6113154334223032030
74326512361344211
oct466102676466262
983412024742850
1021312013233330
11687741295a236
1224824b213b616
13bb79391c7161
145397150ab078
1526e5937929c0
hex136216fa6cb2

21312013233330 has 96 divisors (see below), whose sum is σ = 55450717305984. Its totient is φ = 5679155459328.

The previous prime is 21312013233281. The next prime is 21312013233409. The reversal of 21312013233330 is 3333231021312.

21312013233330 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 0 + 1 + 323 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21312013233294 and 21312013233303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899722747 + ... + 899746433.

It is an arithmetic number, because the mean of its divisors is an integer number (577611638604).

Almost surely, 221312013233330 is an apocalyptic number.

21312013233330 is an abundant number, since it is smaller than the sum of its proper divisors (34138704072654).

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

21312013233330 is a wasteful number, since it uses less digits than its factorization.

21312013233330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400 (or 30397 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21312013233330 its reverse (3333231021312), we get a palindrome (24645244254642).

The spelling of 21312013233330 in words is "twenty-one trillion, three hundred twelve billion, thirteen million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2243 4457 4486 6729 8914 11215 13371 13458 20187 22285 22430 23687 26742 33645 40113 40374 44570 47374 66855 67290 71061 80226 100935 118435 133710 142122 200565 201870 213183 236870 355305 401130 426366 710610 1065915 2131830 9997051 19994102 29991153 49985255 53129941 59982306 89973459 99970510 105572959 106259882 149955765 159389823 179946918 211145918 265649705 299911530 316718877 318779646 449867295 478169469 527864795 531299410 633437754 796949115 899734590 950156631 956338938 1055729590 1583594385 1593898230 1900313262 2390847345 3167188770 4750783155 4781694690 9501566310 236800147037 473600294074 710400441111 1184000735185 1420800882222 2131201323333 2368001470370 3552002205555 4262402646666 7104004411110 10656006616665 21312013233330