Search a number
-
+
100112012102102 = 27211137143714293
BaseRepresentation
bin10110110000110100100100…
…111010110100100111010110
3111010110121121020211212211212
4112300310210322310213112
5101110213400044231402
6552530453510501422
730041565662250500
oct2660644472644726
9433417536755755
10100112012102102
11299982a1a0a390
12b28a466364872
1343b26a34667c0
141aa1639320d70
15b8922336a952
hex5b0d24eb49d6

100112012102102 has 48 divisors (see below), whose sum is σ = 205224624238032. Its totient is φ = 36004320031680.

The previous prime is 100112012102071. The next prime is 100112012102131. The reversal of 100112012102102 is 201201210211001.

It is a super-4 number, since 4×1001120121021024 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571843133 + ... + 3571871160.

It is an arithmetic number, because the mean of its divisors is an integer number (4275513004959).

Almost surely, 2100112012102102 is an apocalyptic number.

100112012102102 is an abundant number, since it is smaller than the sum of its proper divisors (105112612135930).

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

100112012102102 is a wasteful number, since it uses less digits than its factorization.

100112012102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143714333 (or 7143714326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112012102102 its reverse (201201210211001), we get a palindrome (301313222313103).

The spelling of 100112012102102 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 14014 7143714293 14287428586 50006000051 78580857223 92868285809 100012000102 157161714446 185736571618 350042000357 550066000561 650078000663 700084000714 1021551143899 1100132001122 1300156001326 2043102287798 3850462003927 4550546004641 7150858007293 7700924007854 9101092009282 14301716014586 50056006051051 100112012102102