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102213221123 = 131719199122323
BaseRepresentation
bin101111100110001100…
…0011111101100000011
3100202211102012121212102
41133030120133230003
53133313041033443
6114542304021015
710245640021136
oct1371430375403
9322742177772
10102213221123
113a391775972
121798700176b
13983c1bcb40
144d38d8021d
1529d36b8cb8
hex17cc61fb03

102213221123 has 32 divisors (see below), whose sum is σ = 123302592000. Its totient is φ = 83703476736.

The previous prime is 102213221107. The next prime is 102213221129. The reversal of 102213221123 is 321122312201.

It is not a de Polignac number, because 102213221123 - 24 = 102213221107 is a prime.

It is a super-2 number, since 2×1022132211232 (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 = 102213221095 and 102213221104.

It is not an unprimeable number, because it can be changed into a prime (102213221129) 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, 774440 + ... + 896762.

It is an arithmetic number, because the mean of its divisors is an integer number (3853206000).

Almost surely, 2102213221123 is an apocalyptic number.

102213221123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102213221123 is a deficient number, since it is larger than the sum of its proper divisors (21089370877).

102213221123 is a wasteful number, since it uses less digits than its factorization.

102213221123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122571.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102213221123 its reverse (321122312201), we get a palindrome (423335533324).

The spelling of 102213221123 in words is "one hundred two billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 13 17 19 199 221 247 323 2587 3383 3781 4199 43979 49153 64277 122323 835601 1590199 2079491 2324137 24342277 27033383 30213781 39510329 316449601 413818709 462503263 513634277 5379643217 6012542419 7862555471 102213221123