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100112578913 is a prime number
BaseRepresentation
bin101110100111100101…
…1001011100101100001
3100120102000110221111002
41131033023023211201
53120012310011123
6113554024001345
710142611610624
oct1351713134541
9316360427432
10100112578913
1139503a39326
121749b600255
139595c38899
144bb9da7dbb
15290e076528
hex174f2cb961

100112578913 has 2 divisors, whose sum is σ = 100112578914. Its totient is φ = 100112578912.

The previous prime is 100112578903. The next prime is 100112578939. The reversal of 100112578913 is 319875211001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98876915809 + 1235663104 = 314447^2 + 35152^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112578913 - 216 = 100112513377 is a prime.

It is a super-2 number, since 2×1001125789132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112578903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056289456 + 50056289457.

It is an arithmetic number, because the mean of its divisors is an integer number (50056289457).

Almost surely, 2100112578913 is an apocalyptic number.

It is an amenable number.

100112578913 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112578913 is an equidigital number, since it uses as much as digits as its factorization.

100112578913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 38.

Adding to 100112578913 its reverse (319875211001), we get a palindrome (419987789914).

The spelling of 100112578913 in words is "one hundred billion, one hundred twelve million, five hundred seventy-eight thousand, nine hundred thirteen".