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13101123042 = 232734614603
BaseRepresentation
bin11000011001110001…
…10100010111100010
31020211001002000012100
430030320310113202
5203312341414132
610004002311230
7642441465000
oct141470642742
936731060170
1013101123042
115613273717
122657658516
13130a319717
148c3d6da70
1551a27937c
hex30ce345e2

13101123042 has 96 divisors (see below), whose sum is σ = 33181948800. Its totient is φ = 3734246880.

The previous prime is 13101123041. The next prime is 13101123089. The reversal of 13101123042 is 24032110131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13101123041) 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, 2843913 + ... + 2848515.

It is an arithmetic number, because the mean of its divisors is an integer number (345645300).

Almost surely, 213101123042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101123042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590974400).

13101123042 is an abundant number, since it is smaller than the sum of its proper divisors (20080825758).

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

13101123042 is a wasteful number, since it uses less digits than its factorization.

13101123042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101123042 its reverse (24032110131), we get a palindrome (37133233173).

The spelling of 13101123042 in words is "thirteen billion, one hundred one million, one hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 461 686 882 922 1029 1383 2058 2766 3087 3227 4149 4603 6174 6454 8298 9206 9681 13809 19362 22589 27618 29043 32221 41427 45178 58086 64442 67767 82854 96663 135534 158123 193326 203301 225547 289989 316246 406602 451094 474369 579978 676641 948738 1353282 1423107 1578829 2029923 2121983 2846214 3157658 4059846 4243966 4736487 6365949 9472974 12731898 14209461 14853881 19097847 28418922 29707762 38195694 44561643 89123286 103977167 133684929 207954334 267369858 311931501 623863002 727840169 935794503 1455680338 1871589006 2183520507 4367041014 6550561521 13101123042