Search a number
-
+
100201123104 = 2531771864757
BaseRepresentation
bin101110101010001110…
…0111100110100100000
3100120122012002110021120
41131110130330310200
53120202441414404
6114010505452240
710145035331145
oct1352434746440
9316565073246
10100201123104
1139549a15945
12175051a1080
1395ab39acb4
144bc7a563cc
152916c169d9
hex175473cd20

100201123104 has 96 divisors (see below), whose sum is σ = 282423044736. Its totient is φ = 30992855040.

The previous prime is 100201123081. The next prime is 100201123109. The reversal of 100201123104 is 401321102001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100201123109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316507 + ... + 548250.

It is an arithmetic number, because the mean of its divisors is an integer number (2941906716).

Almost surely, 2100201123104 is an apocalyptic number.

It is an amenable number.

100201123104 is an abundant number, since it is smaller than the sum of its proper divisors (182221921632).

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

100201123104 is a wasteful number, since it uses less digits than its factorization.

100201123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864858 (or 864850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100201123104 its reverse (401321102001), we get a palindrome (501522225105).

The spelling of 100201123104 in words is "one hundred billion, two hundred one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 71 96 102 136 142 204 213 272 284 408 426 544 568 816 852 1136 1207 1632 1704 2272 2414 3408 3621 4828 6816 7242 9656 14484 19312 28968 38624 57936 115872 864757 1729514 2594271 3459028 5188542 6918056 10377084 13836112 14700869 20754168 27672224 29401738 41508336 44102607 58803476 61397747 83016672 88205214 117606952 122795494 176410428 184193241 235213904 245590988 352820856 368386482 470427808 491181976 705641712 736772964 982363952 1043761699 1411283424 1473545928 1964727904 2087523398 2947091856 3131285097 4175046796 5894183712 6262570194 8350093592 12525140388 16700187184 25050280776 33400374368 50100561552 100201123104