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102022121120 = 255637638257
BaseRepresentation
bin101111100000011111…
…1100000011010100000
3100202100002121201221112
41133000333200122200
53132420130333440
6114511320042452
710241126502233
oct1370077403240
9322302551845
10102022121120
113a2a3911687
1217933003428
13980b73080a
144d1b83741a
1529c1a1b965
hex17c0fe06a0

102022121120 has 24 divisors (see below), whose sum is σ = 241027261524. Its totient is φ = 40808848384.

The previous prime is 102022121059. The next prime is 102022121147. The reversal of 102022121120 is 21121220201.

102022121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101962707856 + 59413264 = 319316^2 + 7708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102022121095 and 102022121104.

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 3 ways as a sum of consecutive naturals, for example, 318818969 + ... + 318819288.

Almost surely, 2102022121120 is an apocalyptic number.

102022121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022121120 is an abundant number, since it is smaller than the sum of its proper divisors (139005140404).

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

102022121120 is an equidigital number, since it uses as much as digits as its factorization.

102022121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637638272 (or 637638264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022121120 its reverse (21121220201), we get a palindrome (123143341321).

The spelling of 102022121120 in words is "one hundred two billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 637638257 1275276514 2550553028 3188191285 5101106056 6376382570 10202212112 12752765140 20404424224 25505530280 51011060560 102022121120