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102244414153 = 732326349279
BaseRepresentation
bin101111100111000111…
…1011111001011001001
3100202220120220101122211
41133032033133023021
53133344032223103
6114545340345121
710246466116000
oct1371617371311
9322816811584
10102244414153
113a3a8340732
12179955451a1
1398457c1b5b
144d3d17dc37
1529d62cb36d
hex17ce3df2c9

102244414153 has 32 divisors (see below), whose sum is σ = 124895232000. Its totient is φ = 83507287248.

The previous prime is 102244414147. The next prime is 102244414163. The reversal of 102244414153 is 351414442201.

It is a happy number.

It is not a de Polignac number, because 102244414153 - 213 = 102244405961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102244414123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050168 + ... + 2099446.

It is an arithmetic number, because the mean of its divisors is an integer number (3902976000).

Almost surely, 2102244414153 is an apocalyptic number.

It is an amenable number.

102244414153 is a deficient number, since it is larger than the sum of its proper divisors (22650817847).

102244414153 is an equidigital number, since it uses as much as digits as its factorization.

102244414153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49586 (or 49572 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 102244414153 its reverse (351414442201), we get a palindrome (453658856354).

The spelling of 102244414153 in words is "one hundred two billion, two hundred forty-four million, four hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 7 23 49 161 263 343 1127 1841 6049 7889 12887 42343 49279 90209 296401 344953 1133417 2074807 2414671 7933919 12960377 16902697 55537433 90722639 298088671 388762031 635058473 2086620697 4445409311 14606344879 102244414153