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13102923848260 = 22537467143326459
BaseRepresentation
bin1011111010101100001100…
…0111110001101001000100
31201101121221021212202022111
42332223003013301221010
53204134242001121020
643511222231510404
72521440445025011
oct276530307615104
951347837782274
1013102923848260
1141a1a11a13314
121577526828404
137407a616878c
14334283508708
1517ac85421d5a
hexbeac31f1a44

13102923848260 has 96 divisors (see below), whose sum is σ = 28341167137920. Its totient is φ = 5084853378048.

The previous prime is 13102923848251. The next prime is 13102923848263. The reversal of 13102923848260 is 6284832920131.

It is a happy number.

13102923848260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131029238482602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13102923848263) 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, 495202911 + ... + 495229369.

It is an arithmetic number, because the mean of its divisors is an integer number (295220491020).

Almost surely, 213102923848260 is an apocalyptic number.

13102923848260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102923848260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170583568960).

13102923848260 is an abundant number, since it is smaller than the sum of its proper divisors (15238243289660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102923848260 is a wasteful number, since it uses less digits than its factorization.

13102923848260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28405 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 13102923848260 in words is "thirteen trillion, one hundred two billion, nine hundred twenty-three million, eight hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 467 740 934 1433 1868 2335 2866 4670 5732 7165 9340 14330 17279 26459 28660 34558 52918 53021 69116 86395 105836 106042 132295 172790 212084 264590 265105 345580 529180 530210 669211 978983 1060420 1338422 1957966 2676844 3346055 3915932 4894915 6692110 9789830 12356353 13384220 19579660 24712706 24760807 37915747 49425412 49521614 61781765 75831494 99043228 123563530 123804035 151662988 189578735 247127060 247608070 379157470 457185061 495216140 758314940 914370122 1402882639 1828740244 2285925305 2805765278 4571850610 5611530556 7014413195 9143701220 14028826390 17706653849 28057652780 35413307698 70826615396 88533269245 177066538490 354133076980 655146192413 1310292384826 2620584769652 3275730962065 6551461924130 13102923848260