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31347106100 = 2252313471061
BaseRepresentation
bin11101001100011011…
…101110000100110100
32222220122002222112122
4131030123232010310
51003144324343400
622222313135112
72156545001612
oct351433560464
988818088478
1031347106100
1112326695862
1260aa0ba498
132c574b41bb
14173530c6b2
15c37021685
hex74c6ee134

31347106100 has 18 divisors (see below), whose sum is σ = 68023220454. Its totient is φ = 12538842400.

The previous prime is 31347106093. The next prime is 31347106139. The reversal of 31347106100 is 160174313.

It can be written as a sum of positive squares in 3 ways, for example, as 6649097764 + 24698008336 = 81542^2 + 157156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31347106100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156735431 + ... + 156735630.

It is an arithmetic number, because the mean of its divisors is an integer number (3779067803).

Almost surely, 231347106100 is an apocalyptic number.

It is an amenable number.

31347106100 is an abundant number, since it is smaller than the sum of its proper divisors (36676114354).

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

31347106100 is a wasteful number, since it uses less digits than its factorization.

31347106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313471075 (or 313471068 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 31347106100 in words is "thirty-one billion, three hundred forty-seven million, one hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313471061 626942122 1253884244 1567355305 3134710610 6269421220 7836776525 15673553050 31347106100