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102313120133103 = 311171947204228811
BaseRepresentation
bin10111010000110110100001…
…001011100110111111101111
3111102021001001020221020002120
4113100312201023212333233
5101402244232223224403
61001333555402524023
730356610331644615
oct2720664113467757
9442231036836076
10102313120133103
112a666829021470
12b584b74b06613
134512116750289
141b39da50c16b5
15bc65ebbdce53
hex5d0da12e6fef

102313120133103 has 64 divisors (see below), whose sum is σ = 169395545825280. Its totient is φ = 54112465497600.

The previous prime is 102313120133101. The next prime is 102313120133153. The reversal of 102313120133103 is 301331021313201.

It is not a de Polignac number, because 102313120133103 - 21 = 102313120133101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313120133101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101613433 + ... + 102615378.

It is an arithmetic number, because the mean of its divisors is an integer number (2646805403520).

Almost surely, 2102313120133103 is an apocalyptic number.

102313120133103 is a deficient number, since it is larger than the sum of its proper divisors (67082425692177).

102313120133103 is a wasteful number, since it uses less digits than its factorization.

102313120133103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204228908.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102313120133103 its reverse (301331021313201), we get a palindrome (403644141446304).

The spelling of 102313120133103 in words is "one hundred two trillion, three hundred thirteen billion, one hundred twenty million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 3 11 17 19 33 47 51 57 141 187 209 323 517 561 627 799 893 969 1551 2397 2679 3553 8789 9823 10659 15181 26367 29469 45543 166991 500973 204228811 612686433 2246516921 3471889787 3880347409 6739550763 9598754117 10415669361 11641042227 28796262351 38190787657 42683821499 65965905953 105586295287 114572362971 128051464497 163178819989 182376328223 197897717859 316758885861 489536459967 547128984669 725624965483 1794967019879 2006139610453 2176874896449 3100397579791 5384901059637 6018418831359 9301192739373 34104373377701 102313120133103