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31133133031 = 71113195772837
BaseRepresentation
bin11100111111101011…
…011110100011100111
32222100201111000200011
4130333223132203213
51002230040224111
622145151031051
72151336156460
oct347753364347
988321430604
1031133133031
1112226929710
12604a50b487
132c22076b10
141714b2dd67
15c23357021
hex73fade8e7

31133133031 has 64 divisors (see below), whose sum is σ = 44092984320. Its totient is φ = 21170626560.

The previous prime is 31133133023. The next prime is 31133133047. The reversal of 31133133031 is 13033133113.

It is a cyclic number.

It is not a de Polignac number, because 31133133031 - 23 = 31133133023 is a prime.

It is a super-2 number, since 2×311331330312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31133132993 and 31133133011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133133011) 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, 10972545 + ... + 10975381.

It is an arithmetic number, because the mean of its divisors is an integer number (688952880).

Almost surely, 231133133031 is an apocalyptic number.

31133133031 is a deficient number, since it is larger than the sum of its proper divisors (12959851289).

31133133031 is a wasteful number, since it uses less digits than its factorization.

31133133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 31133133031 its reverse (13033133113), we get a palindrome (44166266144).

The spelling of 31133133031 in words is "thirty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 577 1001 1463 1729 2717 2837 4039 6347 7501 10963 19019 19859 31207 36881 44429 52507 53903 76741 82511 120593 142519 218449 258167 377321 405691 577577 592933 700739 844151 997633 1567709 1636949 2839837 4150531 4905173 7708129 10973963 11458643 18006439 21280337 31102031 53956903 126045073 148962359 217714217 234083707 342122341 404326403 1638585949 2394856387 2830284821 4447590433 31133133031