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31448590100 = 2252314485901
BaseRepresentation
bin11101010010011110…
…110110011100010100
310000011201001220102022
4131102132312130110
51003401314340400
622240340232312
72162216414414
oct352236663424
9100151056368
1031448590100
1112378a00234
12611809b698
132c725272c5
1417449a8644
15c40dbab85
hex7527b6714

31448590100 has 18 divisors (see below), whose sum is σ = 68243440734. Its totient is φ = 12579436000.

The previous prime is 31448590081. The next prime is 31448590141. The reversal of 31448590100 is 109584413.

It can be written as a sum of positive squares in 3 ways, for example, as 33154564 + 31415435536 = 5758^2 + 177244^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 157242851 + ... + 157243050.

It is an arithmetic number, because the mean of its divisors is an integer number (3791302263).

Almost surely, 231448590100 is an apocalyptic number.

It is an amenable number.

31448590100 is an abundant number, since it is smaller than the sum of its proper divisors (36794850634).

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

31448590100 is a wasteful number, since it uses less digits than its factorization.

31448590100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314485915 (or 314485908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 31448590100 in words is "thirty-one billion, four hundred forty-eight million, five hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 314485901 628971802 1257943604 1572429505 3144859010 6289718020 7862147525 15724295050 31448590100