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102414210423 = 37217317129281
BaseRepresentation
bin101111101100001011…
…1001101010101110111
3100210100102101221100120
41133120113031111313
53134221014213143
6115014243543023
710253630265600
oct1373027152567
9323312357316
10102414210423
113a485174128
1217a2238aa73
139871a32515
144d5793cda7
1529e616b383
hex17d85cd577

102414210423 has 48 divisors (see below), whose sum is σ = 168722318304. Its totient is φ = 54905733120.

The previous prime is 102414210377. The next prime is 102414210439. The reversal of 102414210423 is 324012414201.

It is not a de Polignac number, because 102414210423 - 218 = 102413948279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102414210393 and 102414210402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414210443) 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 47 ways as a sum of consecutive naturals, for example, 727543 + ... + 856823.

It is an arithmetic number, because the mean of its divisors is an integer number (3515048298).

Almost surely, 2102414210423 is an apocalyptic number.

102414210423 is a deficient number, since it is larger than the sum of its proper divisors (66308107881).

102414210423 is a wasteful number, since it uses less digits than its factorization.

102414210423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129632 (or 129625 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102414210423 its reverse (324012414201), we get a palindrome (426426624624).

The spelling of 102414210423 in words is "one hundred two billion, four hundred fourteen million, two hundred ten thousand, four hundred twenty-three".

Divisors: 1 3 7 17 21 49 51 119 147 317 357 833 951 2219 2499 5389 6657 15533 16167 37723 46599 113169 129281 264061 387843 792183 904967 2197777 2714901 6334769 6593331 15384439 19004307 40982077 46153317 107691073 122946231 286874539 323073219 696695309 860623617 2008121773 2090085927 4876867163 6024365319 14630601489 34138070141 102414210423