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102022131331 = 1749926594523
BaseRepresentation
bin101111100000011111…
…1100010111010000011
3100202100002122020221201
41133000333202322003
53132420131200311
6114511320202031
710241126544061
oct1370077427203
9322302566851
10102022131331
113a2a391931a
1217933009317
13980b735363
144d1b83b031
1529c1a1e9c1
hex17c0fe2e83

102022131331 has 16 divisors (see below), whose sum is σ = 108304560000. Its totient is φ = 95771184768.

The previous prime is 102022131313. The next prime is 102022131371. The reversal of 102022131331 is 133131220201.

It is not a de Polignac number, because 102022131331 - 223 = 102013742723 is a prime.

It is a super-2 number, since 2×1020221313312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022131299 and 102022131308.

It is not an unprimeable number, because it can be changed into a prime (102022131301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22554036 + ... + 22558558.

It is an arithmetic number, because the mean of its divisors is an integer number (6769035000).

Almost surely, 2102022131331 is an apocalyptic number.

102022131331 is a deficient number, since it is larger than the sum of its proper divisors (6282428669).

102022131331 is a wasteful number, since it uses less digits than its factorization.

102022131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102022131331 its reverse (133131220201), we get a palindrome (235153351532).

The spelling of 102022131331 in words is "one hundred two billion, twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 17 499 2659 4523 8483 45203 76891 1326841 2256977 12026657 22556297 38368609 204453169 6001301843 102022131331