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102220022201 = 11312819111171
BaseRepresentation
bin101111100110011001…
…0011100000110111001
3100202211220000011012012
41133030302130012321
53133321311202301
6114543105455305
710246051565303
oct1371462340671
9322756004165
10102220022201
113a3955a06a0
1217989341535
13984073164b
144d39c30973
1529d40adebb
hex17ccc9c1b9

102220022201 has 32 divisors (see below), whose sum is σ = 115745144832. Its totient is φ = 89434800000.

The previous prime is 102220022171. The next prime is 102220022207.

102220022201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102220022201 - 210 = 102220021177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102220022207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87292346 + ... + 87293516.

It is an arithmetic number, because the mean of its divisors is an integer number (3617035776).

Almost surely, 2102220022201 is an apocalyptic number.

102220022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102220022201 is a deficient number, since it is larger than the sum of its proper divisors (13525122631).

102220022201 is a wasteful number, since it uses less digits than its factorization.

102220022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405.

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

It can be divided in two parts, 1022200 and 22201, that added together give a palindrome (1044401).

The spelling of 102220022201 in words is "one hundred two billion, two hundred twenty million, twenty-two thousand, two hundred one".

Divisors: 1 11 31 281 341 911 1171 3091 8711 10021 12881 28241 36301 95821 255991 310651 329051 399311 1066781 2815901 3619561 7935721 10200581 11734591 33070211 87292931 112206391 299765461 363772321 3297420071 9292729291 102220022201