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100112000022 = 23238314521613
BaseRepresentation
bin101110100111100100…
…0111110010000010110
3100120101222101112101200
41131033020332100112
53120012133000042
6113554003333330
710142603650116
oct1351710762026
9316358345350
10100112000022
1139503683401
121749b381246
139595a95248
144bb9c97046
15290deaec4c
hex174f23e416

100112000022 has 24 divisors (see below), whose sum is σ = 217475691264. Its totient is φ = 33283534704.

The previous prime is 100111999961. The next prime is 100112000029. The reversal of 100112000022 is 220000211001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111999968 and 100112000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7253913 + ... + 7267700.

It is an arithmetic number, because the mean of its divisors is an integer number (9061487136).

Almost surely, 2100112000022 is an apocalyptic number.

100112000022 is an abundant number, since it is smaller than the sum of its proper divisors (117363691242).

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

100112000022 is a wasteful number, since it uses less digits than its factorization.

100112000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522004 (or 14522001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100112000022 its reverse (220000211001), we get a palindrome (320112211023).

The spelling of 100112000022 in words is "one hundred billion, one hundred twelve million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 383 766 1149 2298 3447 6894 14521613 29043226 43564839 87129678 130694517 261389034 5561777779 11123555558 16685333337 33370666674 50056000011 100112000022