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102022022120 = 2356841372833
BaseRepresentation
bin101111100000011111…
…1001000001111101000
3100202100002102201010212
41133000333020033220
53132420114201440
6114511314000252
710241125610504
oct1370077101750
9322302381125
10102022022120
113a2a3854267
1217932b76088
13980b6c7735
144d1b80d304
1529c19ec465
hex17c0fc83e8

102022022120 has 32 divisors (see below), whose sum is σ = 229583720520. Its totient is φ = 40802734080.

The previous prime is 102022022117. The next prime is 102022022153. The reversal of 102022022120 is 21220220201.

It can be written as a sum of positive squares in 4 ways, for example, as 71403321796 + 30618700324 = 267214^2 + 174982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102022022095 and 102022022104.

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, 87224 + ... + 460056.

Almost surely, 2102022022120 is an apocalyptic number.

102022022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022022120 is an abundant number, since it is smaller than the sum of its proper divisors (127561698400).

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

102022022120 is a wasteful number, since it uses less digits than its factorization.

102022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379685 (or 379681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102022022120 its reverse (21220220201), we get a palindrome (123242242321).

The spelling of 102022022120 in words is "one hundred two billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6841 13682 27364 34205 54728 68410 136820 273640 372833 745666 1491332 1864165 2982664 3728330 7456660 14913320 2550550553 5101101106 10202202212 12752752765 20404404424 25505505530 51011011060 102022022120