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31131312201 = 33111076771447
BaseRepresentation
bin11100111111100100…
…100010000001001001
32222100121001111222000
4130333210202001021
51002224103442301
622145044021213
72151314534103
oct347744420111
988317044860
1031131312201
11122258a56a0
126049991809
132c2188a0c2
1417147b8573
15c230e7786
hex73f922049

31131312201 has 64 divisors (see below), whose sum is σ = 50893608960. Its totient is φ = 18650623680.

The previous prime is 31131312193. The next prime is 31131312239. The reversal of 31131312201 is 10221313113.

31131312201 is a `hidden beast` number, since 311 + 3 + 131 + 220 + 1 = 666.

It is not a de Polignac number, because 31131312201 - 23 = 31131312193 is a prime.

It is a super-2 number, since 2×311313122012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31131312701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21513660 + ... + 21515106.

It is an arithmetic number, because the mean of its divisors is an integer number (795212640).

Almost surely, 231131312201 is an apocalyptic number.

It is an amenable number.

31131312201 is a deficient number, since it is larger than the sum of its proper divisors (19762296759).

31131312201 is a wasteful number, since it uses less digits than its factorization.

31131312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

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

Adding to 31131312201 its reverse (10221313113), we get a palindrome (41352625314).

The spelling of 31131312201 in words is "thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 107 297 321 677 963 1177 1447 2031 2889 3531 4341 6093 7447 10593 13023 15917 18279 22341 31779 39069 47751 67023 72439 143253 154829 201069 217317 429759 464487 651951 796829 979619 1393461 1703119 1955853 2390487 2938857 4180383 5109357 7171461 8816571 10775809 15328071 21514383 26449713 32327427 45984213 96982281 104819233 290946843 314457699 943373097 1153011563 2830119291 3459034689 10377104067 31131312201