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31151069001 = 321311322910289
BaseRepresentation
bin11101000000101111…
…111001011101001001
32222101222020021012100
4131000233321131021
51002244133202001
622151031304013
72151644501103
oct350057713511
988358207170
1031151069001
1112235a6a228
12605451b009
132c259b6910
14171727c573
15c24beb586
hex740bf9749

31151069001 has 48 divisors (see below), whose sum is σ = 49104291600. Its totient is φ = 18915434496.

The previous prime is 31151068987. The next prime is 31151069009. The reversal of 31151069001 is 10096015113.

It can be written as a sum of positive squares in 8 ways, for example, as 42575625 + 31108493376 = 6525^2 + 176376^2 .

It is not a de Polignac number, because 31151069001 - 26 = 31151068937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31151069009) 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, 3022465 + ... + 3032753.

It is an arithmetic number, because the mean of its divisors is an integer number (1023006075).

Almost surely, 231151069001 is an apocalyptic number.

It is an amenable number.

31151069001 is a deficient number, since it is larger than the sum of its proper divisors (17953222599).

31151069001 is a wasteful number, since it uses less digits than its factorization.

31151069001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 31151069001 in words is "thirty-one billion, one hundred fifty-one million, sixty-nine thousand, one".

Divisors: 1 3 9 13 39 113 117 229 339 687 1017 1469 2061 2977 4407 8931 10289 13221 25877 26793 30867 77631 92601 133757 232893 336401 401271 1009203 1162657 1203813 2356181 3027609 3487971 7068543 10463913 15114541 21205629 30630353 45343623 91891059 136030869 266248453 275673177 798745359 2396236077 3461229889 10383689667 31151069001