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31131233441 = 7112191199967
BaseRepresentation
bin11100111111100100…
…001110110010100001
32222100120220111220222
4130333210032302201
51002224043432231
622145042212425
72151314055350
oct347744166241
988316814828
1031131233441
1112225851500
126049954115
132c218602b9
141714797997
15c230ce27b
hex73f90eca1

31131233441 has 48 divisors (see below), whose sum is σ = 39550156800. Its totient is φ = 23985007200.

The previous prime is 31131233417. The next prime is 31131233453. The reversal of 31131233441 is 14433213113.

It is not a de Polignac number, because 31131233441 - 26 = 31131233377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31131233441.

It is not an unprimeable number, because it can be changed into a prime (31131233491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32193140 + ... + 32194106.

It is an arithmetic number, because the mean of its divisors is an integer number (823961600).

Almost surely, 231131233441 is an apocalyptic number.

It is an amenable number.

31131233441 is a deficient number, since it is larger than the sum of its proper divisors (8418923359).

31131233441 is a wasteful number, since it uses less digits than its factorization.

31131233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 31131233441 its reverse (14433213113), we get a palindrome (45564446554).

The spelling of 31131233441 in words is "thirty-one billion, one hundred thirty-one million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 7 11 77 121 191 199 847 967 1337 1393 2101 2189 6769 10637 14707 15323 23111 24079 38009 74459 117007 161777 168553 184697 192433 266063 418099 819049 1292879 1347031 2031667 2116763 2926693 4599089 14221669 14817341 22348337 23284393 32193623 36754703 156438359 162990751 257282921 404301733 2830112131 4447319063 31131233441