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100112210020 = 22541122088061
BaseRepresentation
bin101110100111100100…
…1110001100001100100
3100120101222210012110101
41131033021301201210
53120012211210040
6113554012033444
710142605513264
oct1351711614144
9316358705411
10100112210020
1139503807159
121749b462884
139595b399c4
144bb9d0d7a4
15290e00209a
hex174f271864

100112210020 has 24 divisors (see below), whose sum is σ = 215363341368. Its totient is φ = 39068179200.

The previous prime is 100112209973. The next prime is 100112210047. The reversal of 100112210020 is 20012211001.

It can be written as a sum of positive squares in 4 ways, for example, as 959017024 + 99153192996 = 30968^2 + 314886^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100112209979 and 100112210006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61043211 + ... + 61044850.

It is an arithmetic number, because the mean of its divisors is an integer number (8973472557).

Almost surely, 2100112210020 is an apocalyptic number.

100112210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112210020 is an abundant number, since it is smaller than the sum of its proper divisors (115251131348).

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

100112210020 is a wasteful number, since it uses less digits than its factorization.

100112210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122088111 (or 122088109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100112210020 its reverse (20012211001), we get a palindrome (120124421021).

The spelling of 100112210020 in words is "one hundred billion, one hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 122088061 244176122 488352244 610440305 1220880610 2441761220 5005610501 10011221002 20022442004 25028052505 50056105010 100112210020