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100022120120 = 23513192350231
BaseRepresentation
bin101110100100111001…
…0000110111010111000
3100120011201021011100102
41131021302012322320
53114321130320440
6113541033054532
710140432664436
oct1351162067270
9316151234312
10100022120120
113946797429a
1217475257448
139580285b80
144babd7bd56
152906158b15
hex1749c86eb8

100022120120 has 32 divisors (see below), whose sum is σ = 242361292320. Its totient is φ = 36931244160.

The previous prime is 100022120119. The next prime is 100022120141. The reversal of 100022120120 is 21021220001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 96174596 + ... + 96175635.

It is an arithmetic number, because the mean of its divisors is an integer number (7573790385).

Almost surely, 2100022120120 is an apocalyptic number.

100022120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022120120 is an abundant number, since it is smaller than the sum of its proper divisors (142339172200).

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

100022120120 is a wasteful number, since it uses less digits than its factorization.

100022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192350255 (or 192350251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022120120 its reverse (21021220001), we get a palindrome (121043340121).

The spelling of 100022120120 in words is "one hundred billion, twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 192350231 384700462 769400924 961751155 1538801848 1923502310 2500553003 3847004620 5001106006 7694009240 10002212012 12502765015 20004424024 25005530030 50011060060 100022120120