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100112122020 = 22355932813719
BaseRepresentation
bin101110100111100100…
…1011100000010100100
3100120101222121201202010
41131033021130002210
53120012200401040
6113554010114220
710142604665601
oct1351711340244
9316358551663
10100112122020
1139503757029
121749b41b970
139595b08931
144bb9cc96a8
15290ded5e80
hex174f25c0a4

100112122020 has 48 divisors (see below), whose sum is σ = 280786746240. Its totient is φ = 26651536896.

The previous prime is 100112122013. The next prime is 100112122037. The reversal of 100112122020 is 20221211001.

100112122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112121987 and 100112122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371280 + ... + 1442439.

It is an arithmetic number, because the mean of its divisors is an integer number (5849723880).

Almost surely, 2100112122020 is an apocalyptic number.

100112122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112122020 is an abundant number, since it is smaller than the sum of its proper divisors (180674624220).

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

100112122020 is a wasteful number, since it uses less digits than its factorization.

100112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814324 (or 2814322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112122020 its reverse (20221211001), we get a palindrome (120333333021).

The spelling of 100112122020 in words is "one hundred billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 593 1186 1779 2372 2965 3558 5930 7116 8895 11860 17790 35580 2813719 5627438 8441157 11254876 14068595 16882314 28137190 33764628 42205785 56274380 84411570 168823140 1668535367 3337070734 5005606101 6674141468 8342676835 10011212202 16685353670 20022424404 25028030505 33370707340 50056061010 100112122020