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122102201988 = 223213260902141
BaseRepresentation
bin111000110110111011…
…0111011111010000100
3102200011111211112111100
41301231312323322010
54000031130430423
6132032025540100
711551543410114
oct1615566737204
9380144745440
10122102201988
1147868567638
121b7b7944630
13b68b896580
145ca4607044
153299805343
hex1c6ddbbe84

122102201988 has 36 divisors (see below), whose sum is σ = 332389328908. Its totient is φ = 37569908160.

The previous prime is 122102201987. The next prime is 122102202031. The reversal of 122102201988 is 889102201221.

It can be written as a sum of positive squares in 2 ways, for example, as 66774694464 + 55327507524 = 258408^2 + 235218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122102201983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130450603 + ... + 130451538.

Almost surely, 2122102201988 is an apocalyptic number.

122102201988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122102201988 is an abundant number, since it is smaller than the sum of its proper divisors (210287126920).

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

122102201988 is a wasteful number, since it uses less digits than its factorization.

122102201988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260902164 (or 260902159 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 122102201988 in words is "one hundred twenty-two billion, one hundred two million, two hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 260902141 521804282 782706423 1043608564 1565412846 2348119269 3130825692 3391727833 4696238538 6783455666 9392477076 10175183499 13566911332 20350366998 30525550497 40700733996 61051100994 122102201988