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102222100021 = 617448136973
BaseRepresentation
bin101111100110011101…
…0010111011000110101
3100202212000220201102111
41133030322113120311
53133322324200041
6114543222211021
710246105341136
oct1371472273065
9322760821374
10102222100021
113a39678a7a8
1217989b83a71
139840cab322
144d3a211c8d
1529d436e981
hex17cce97635

102222100021 has 8 divisors (see below), whose sum is σ = 102413395224. Its totient is φ = 102030888960.

The previous prime is 102222099919. The next prime is 102222100033. The reversal of 102222100021 is 120001222201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 505755121 + 101716344900 = 22489^2 + 318930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102222100021 - 211 = 102222097973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102222099974 and 102222100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222100081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2746291 + ... + 2783263.

It is an arithmetic number, because the mean of its divisors is an integer number (12801674403).

Almost surely, 2102222100021 is an apocalyptic number.

It is an amenable number.

102222100021 is a deficient number, since it is larger than the sum of its proper divisors (191295203).

102222100021 is an equidigital number, since it uses as much as digits as its factorization.

102222100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42071.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102222100021 its reverse (120001222201), we get a palindrome (222223322222).

The spelling of 102222100021 in words is "one hundred two billion, two hundred twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 617 4481 36973 2764777 22812341 165676013 102222100021