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102322223201 = 11467121316421
BaseRepresentation
bin101111101001011100…
…0010011100001100001
3100210010000022111121102
41133102320103201201
53134023442120301
6115001200204145
710251432355352
oct1372270234141
9323100274542
10102322223201
113a438255830
12179b7609655
139858965c03
144d49635d29
1529dd04ab6b
hex17d2e13861

102322223201 has 16 divisors (see below), whose sum is σ = 111962305728. Its totient is φ = 92738846400.

The previous prime is 102322223197. The next prime is 102322223203.

It is a happy number.

102322223201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102322223201 - 22 = 102322223197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102322223203) 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, 6222971 + ... + 6239391.

It is an arithmetic number, because the mean of its divisors is an integer number (6997644108).

Almost surely, 2102322223201 is an apocalyptic number.

102322223201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102322223201 is a deficient number, since it is larger than the sum of its proper divisors (9640082527).

102322223201 is a wasteful number, since it uses less digits than its factorization.

102322223201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 102322 and 223201, that added together give a palindrome (325523).

The spelling of 102322223201 in words is "one hundred two billion, three hundred twenty-two million, two hundred twenty-three thousand, two hundred one".

Divisors: 1 11 467 1213 5137 13343 16421 180631 566471 6231181 7668607 19918673 84354677 219105403 9302020291 102322223201