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10313434100 = 2252103134341
BaseRepresentation
bin10011001101011101…
…01000001111110100
3222121202112201212202
421212232220033310
5132110214342400
64423220404032
7513401512664
oct114656501764
928552481782
1010313434100
114412734762
121bb9b46618
13c8490cc38
146dba321a4
154056724d5
hex266ba83f4

10313434100 has 18 divisors (see below), whose sum is σ = 22380152214. Its totient is φ = 4125373600.

The previous prime is 10313434073. The next prime is 10313434123. The reversal of 10313434100 is 143431301.

It can be written as a sum of positive squares in 3 ways, for example, as 3543106576 + 6770327524 = 59524^2 + 82282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 51567071 + ... + 51567270.

Almost surely, 210313434100 is an apocalyptic number.

10313434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313434100 is an abundant number, since it is smaller than the sum of its proper divisors (12066718114).

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

10313434100 is a wasteful number, since it uses less digits than its factorization.

10313434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103134355 (or 103134348 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10313434100 its reverse (143431301), we get a palindrome (10456865401).

The spelling of 10313434100 in words is "ten billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103134341 206268682 412537364 515671705 1031343410 2062686820 2578358525 5156717050 10313434100