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21312132331203 = 3372371725725229
BaseRepresentation
bin1001101100010000111100…
…00100111011011011000011
32210110102100010221020112000
410312020132010323123003
510243134221334044303
6113154354115435043
74326515335560300
oct466103604733303
983412303836460
1021312132331203
11687747410522a
122482525bb5a83
13bb7957a9657c
14539726c300a7
1526e59de6ada3
hex13621e13b6c3

21312132331203 has 96 divisors (see below), whose sum is σ = 37724731617600. Its totient is φ = 11848060159488.

The previous prime is 21312132331159. The next prime is 21312132331219. The reversal of 21312132331203 is 30213323121312.

21312132331203 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 21 + 323 + 312 + 0 + 3 = 666.

It is not a de Polignac number, because 21312132331203 - 217 = 21312132200131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21312132333203) 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, 844734793 + ... + 844760021.

It is an arithmetic number, because the mean of its divisors is an integer number (392965954350).

Almost surely, 221312132331203 is an apocalyptic number.

21312132331203 is a deficient number, since it is larger than the sum of its proper divisors (16412599286397).

21312132331203 is a wasteful number, since it uses less digits than its factorization.

21312132331203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42546 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21312132331203 its reverse (30213323121312), we get a palindrome (51525455452515).

The spelling of 21312132331203 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred three".

Divisors: 1 3 7 9 21 27 37 49 63 111 147 189 259 333 441 777 999 1323 1813 2331 5439 6993 16317 17257 25229 48951 51771 75687 120799 155313 176603 227061 362397 465939 529809 638509 681183 845593 933473 1087191 1236221 1589427 1915527 2536779 2800419 3261573 3708663 4469563 4768281 5746581 6534311 7610337 8401257 11125989 13408689 17239743 19602933 22831011 25203771 31286941 33377967 40226067 45740177 58808799 93860823 120678201 137220531 176426397 281582469 411661593 435376853 844747407 1234984779 1306130559 3047637971 3918391677 9142913913 11755175031 16108943561 21333465797 27428741739 48326830683 64000397391 82286225217 112762604927 144980492049 192001192173 338287814781 434941476147 576003576519 789338234489 1014863444343 2368014703467 3044590333029 7104044110401 21312132331203