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102022022020 = 2255219790981
BaseRepresentation
bin101111100000011111…
…1001000001110000100
3100202100002102201000011
41133000333020032010
53132420114201040
6114511314000004
710241125610302
oct1370077101604
9322302381004
10102022022020
113a2a3854186
1217932b76004
13980b6c7689
144d1b80d272
1529c19ec3ea
hex17c0fc8384

102022022020 has 24 divisors (see below), whose sum is σ = 214657489368. Its totient is φ = 40730476800.

The previous prime is 102022021961. The next prime is 102022022027. The reversal of 102022022020 is 20220220201.

It can be written as a sum of positive squares in 4 ways, for example, as 15707107584 + 86314914436 = 125328^2 + 293794^2 .

It is not an unprimeable number, because it can be changed into a prime (102022022027) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4885071 + ... + 4905910.

It is an arithmetic number, because the mean of its divisors is an integer number (8944062057).

Almost surely, 2102022022020 is an apocalyptic number.

102022022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022022020 is an abundant number, since it is smaller than the sum of its proper divisors (112635467348).

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

102022022020 is a wasteful number, since it uses less digits than its factorization.

102022022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791511 (or 9791509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102022022020 its reverse (20220220201), we get a palindrome (122242242221).

The spelling of 102022022020 in words is "one hundred two billion, twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 10420 9790981 19581962 39163924 48954905 97909810 195819620 5101101101 10202202202 20404404404 25505505505 51011011010 102022022020