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31000310100 = 22325234444789
BaseRepresentation
bin11100110111110000…
…110011000101010100
32222000110112220212100
4130313300303011110
51001442034410400
622124044122100
72145134200554
oct346760630524
988013486770
1031000310100
11121689598a1
126011b36330
132c006b0476
141701237164
15c1686c100
hex737c33154

31000310100 has 54 divisors (see below), whose sum is σ = 97168752590. Its totient is φ = 8266749120.

The previous prime is 31000310059. The next prime is 31000310153. The reversal of 31000310100 is 101300013.

It can be written as a sum of positive squares in 3 ways, for example, as 1080305424 + 29920004676 = 32868^2 + 172974^2 .

It is a super-2 number, since 2×310003101002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17221495 + ... + 17223294.

Almost surely, 231000310100 is an apocalyptic number.

31000310100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000310100 is an abundant number, since it is smaller than the sum of its proper divisors (66168442490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31000310100 is a wasteful number, since it uses less digits than its factorization.

31000310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34444809 (or 34444799 counting only the distinct ones).

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

Adding to 31000310100 its reverse (101300013), we get a palindrome (31101610113).

The spelling of 31000310100 in words is "thirty-one billion, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 34444789 68889578 103334367 137779156 172223945 206668734 310003101 344447890 413337468 516671835 620006202 688895780 861119725 1033343670 1240012404 1550015505 1722239450 2066687340 2583359175 3100031010 3444478900 5166718350 6200062020 7750077525 10333436700 15500155050 31000310100