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31321344100 = 22521811730461
BaseRepresentation
bin11101001010111001…
…011100100001100100
32222211211122010201111
4131022321130201210
51003121231002400
622215553034404
72156113014004
oct351271344144
988754563644
1031321344100
111231309a452
1260a1555a04
132c52064207
141731b24004
15c34b333ba
hex74ae5c864

31321344100 has 36 divisors (see below), whose sum is σ = 68342866228. Its totient is φ = 12459312000.

The previous prime is 31321344059. The next prime is 31321344127. The reversal of 31321344100 is 144312313.

It can be written as a sum of positive squares in 6 ways, for example, as 17259653376 + 14061690724 = 131376^2 + 118582^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847131 + ... + 883330.

Almost surely, 231321344100 is an apocalyptic number.

It is an amenable number.

31321344100 is an abundant number, since it is smaller than the sum of its proper divisors (37021522128).

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

31321344100 is a wasteful number, since it uses less digits than its factorization.

31321344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730656 (or 1730649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31321344100 its reverse (144312313), we get a palindrome (31465656413).

The spelling of 31321344100 in words is "thirty-one billion, three hundred twenty-one million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 1730461 3460922 6921844 8652305 17304610 34609220 43261525 86523050 173046100 313213441 626426882 1252853764 1566067205 3132134410 6264268820 7830336025 15660672050 31321344100