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102313144332231 = 3723592883767231
BaseRepresentation
bin10111010000110110100010…
…100111111010111111000111
3111102021001002221110200001120
4113100312202213322333013
5101402244304422112411
61001334002025325023
730356611044433200
oct2720664247727707
9442231087420046
10102313144332231
112a66684074a648
12b584b81036773
13451211b773aa1
141b39da83c05a7
15bc65eddbd106
hex5d0da29fafc7

102313144332231 has 48 divisors (see below), whose sum is σ = 159139693025280. Its totient is φ = 58298910788160.

The previous prime is 102313144332137. The next prime is 102313144332233. The reversal of 102313144332231 is 132233441313201.

It is not a de Polignac number, because 102313144332231 - 210 = 102313144331207 is a prime.

It is a super-2 number, since 2×1023131443322312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102313144332192 and 102313144332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313144332233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1521781386 + ... + 1521848616.

It is an arithmetic number, because the mean of its divisors is an integer number (3315410271360).

Almost surely, 2102313144332231 is an apocalyptic number.

102313144332231 is a deficient number, since it is larger than the sum of its proper divisors (56826548693049).

102313144332231 is a wasteful number, since it uses less digits than its factorization.

102313144332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96444 (or 96437 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 102313144332231 its reverse (132233441313201), we get a palindrome (234546585645432).

The spelling of 102313144332231 in words is "one hundred two trillion, three hundred thirteen billion, one hundred forty-four million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 147 359 1077 2513 7539 17591 28837 52773 67231 86511 201693 201859 470617 605577 1411851 1413013 3294319 4239039 9882957 10352483 24135929 31057449 72407787 72467381 168951503 217402143 506854509 507271667 1182660521 1521815001 1938740347 3547981563 5816221041 13571182429 40713547287 94998277003 284994831009 696007784573 2088023353719 4872054492011 14616163476033 34104381444077 102313144332231