Search a number
-
+
103011020012121 = 313232910936330113
BaseRepresentation
bin10111011011000000011111…
…010000010111101001011001
3111111201202110002200102102220
4113123000133100113221121
5102000213032110341441
61003030335335214253
730461205051021504
oct2733003720275131
9444652402612386
10103011020012121
112a90580133a091
12b678286217389
134562b88a89280
141b61a8d50813b
15bd9846707466
hex5db01f417a59

103011020012121 has 64 divisors (see below), whose sum is σ = 161131321612800. Its totient is φ = 58007272587264.

The previous prime is 103011020012119. The next prime is 103011020012149. The reversal of 103011020012121 is 121210020110301.

It is not a de Polignac number, because 103011020012121 - 21 = 103011020012119 is a prime.

It is a super-3 number, since 3×1030110200121213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103011020012121.

It is not an unprimeable number, because it can be changed into a prime (103011020012521) 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, 15329640 + ... + 21000473.

It is an arithmetic number, because the mean of its divisors is an integer number (2517676900200).

Almost surely, 2103011020012121 is an apocalyptic number.

It is an amenable number.

103011020012121 is a deficient number, since it is larger than the sum of its proper divisors (58120301600679).

103011020012121 is a wasteful number, since it uses less digits than its factorization.

103011020012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36330290.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 103011020012121 its reverse (121210020110301), we get a palindrome (224221040122422).

The spelling of 103011020012121 in words is "one hundred three trillion, eleven billion, twenty million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 13 23 29 39 69 87 109 299 327 377 667 897 1131 1417 2001 2507 3161 4251 7521 8671 9483 26013 32591 41093 72703 97773 123279 218109 945139 2835417 36330113 108990339 472291469 835592599 1053573277 1416874407 2506777797 3160719831 3959982317 10862703787 11879946951 13696452601 24232185371 32588111361 41089357803 51479770121 72696556113 91079593291 114839487193 154439310363 273238779873 315018409823 344518461579 945055229469 1184034712783 1492913333509 2641308205439 3552104138349 4478740000527 7923924616317 34337006670707 103011020012121