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31143143031 = 37111323450899
BaseRepresentation
bin11101000000010001…
…101010011001110111
32222101102022120210220
4131000101222121313
51002240121034111
622150145345423
72151520230240
oct350021523167
988342276726
1031143143031
1112231546340
126051938273
132c241700b0
1417161b7cc7
15c24182e06
hex74046a677

31143143031 has 64 divisors (see below), whose sum is σ = 58176921600. Its totient is φ = 14284448640.

The previous prime is 31143142999. The next prime is 31143143041. The reversal of 31143143031 is 13034134113.

It is not a de Polignac number, because 31143143031 - 25 = 31143142999 is a prime.

It is a super-2 number, since 2×311431430312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31143142992 and 31143143010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143143041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156381 + ... + 294518.

It is an arithmetic number, because the mean of its divisors is an integer number (909014400).

Almost surely, 231143143031 is an apocalyptic number.

31143143031 is a deficient number, since it is larger than the sum of its proper divisors (27033778569).

31143143031 is a wasteful number, since it uses less digits than its factorization.

31143143031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450956.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31143143031 its reverse (13034134113), we get a palindrome (44177277144).

The spelling of 31143143031 in words is "thirty-one billion, one hundred forty-three million, one hundred forty-three thousand, thirty-one".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 1001 1771 2093 3003 3289 5313 6279 9867 23023 69069 450899 1352697 3156293 4959889 5861687 9468879 10370677 14879667 17585061 31112031 34719223 41031809 64478557 72594739 104157669 114077447 123095427 134818801 193435671 217784217 342232341 404456403 451349899 798542129 943731607 1354049697 1483006811 2395626387 2831194821 4449020433 10381047677 31143143031