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100200313031 = 7133732952017
BaseRepresentation
bin101110101010001100…
…1110111000011000111
3100120122010120022001212
41131110121313003013
53120202240004111
6114010440242035
710145025415340
oct1352431670307
9316563508055
10100200313031
1139549512265
1217504a7031b
1395ab176370
144bc78c50c7
152916b0698b
hex17546770c7

100200313031 has 16 divisors (see below), whose sum is σ = 123654129984. Its totient is φ = 79066796544.

The previous prime is 100200313001. The next prime is 100200313033. The reversal of 100200313031 is 130313002001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100200313031 is a prime.

It is a super-2 number, since 2×1002003130312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100200312997 and 100200313015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200313033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1442066 + ... + 1509951.

It is an arithmetic number, because the mean of its divisors is an integer number (7728383124).

Almost surely, 2100200313031 is an apocalyptic number.

100200313031 is a deficient number, since it is larger than the sum of its proper divisors (23453816953).

100200313031 is a wasteful number, since it uses less digits than its factorization.

100200313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952410.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100200313031 its reverse (130313002001), we get a palindrome (230513315032).

The spelling of 100200313031 in words is "one hundred billion, two hundred million, three hundred thirteen thousand, thirty-one".

Divisors: 1 7 13 91 373 2611 4849 33943 2952017 20664119 38376221 268633547 1101102341 7707716387 14314330433 100200313031