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31131101001 = 37111310366667
BaseRepresentation
bin11100111111100011…
…101110011101001001
32222100120122210020210
4130333203232131021
51002224030213001
622145035311333
72151312664260
oct347743563511
988316583223
1031131101001
1112225770a50
1260498ab549
132c21814c30
1417147615d7
15c230a4dd6
hex73f8ee749

31131101001 has 32 divisors (see below), whose sum is σ = 55731207168. Its totient is φ = 14927999040.

The previous prime is 31131100991. The next prime is 31131101051. The reversal of 31131101001 is 10010113113.

It is not a de Polignac number, because 31131101001 - 25 = 31131100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31131101051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5180331 + ... + 5186336.

It is an arithmetic number, because the mean of its divisors is an integer number (1741600224).

Almost surely, 231131101001 is an apocalyptic number.

It is an amenable number.

31131101001 is a deficient number, since it is larger than the sum of its proper divisors (24600106167).

31131101001 is a wasteful number, since it uses less digits than its factorization.

31131101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366701.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 31131101001 its reverse (10010113113), we get a palindrome (41141214114).

The spelling of 31131101001 in words is "thirty-one billion, one hundred thirty-one million, one hundred one thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 10366667 31100001 72566669 114033337 134766671 217700007 342100011 404300013 798233359 943366697 1482433381 2394700077 2830100091 4447300143 10377033667 31131101001