Search a number
-
+
101621316126 = 231117412209063
BaseRepresentation
bin101111010100100011…
…0100011101000011110
3100201022011102201212010
41132221012203220132
53131110024104001
6114403441252050
710225161635451
oct1365106435036
9321264381763
10101621316126
113a108646990
1217840934026
1397766999b5
144cc0503498
15299b7498d6
hex17a91a3a1e

101621316126 has 64 divisors (see below), whose sum is σ = 240487543296. Its totient is φ = 28275993600.

The previous prime is 101621316107. The next prime is 101621316133. The reversal of 101621316126 is 621613126101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101621316093 and 101621316102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058530 + ... + 1150533.

It is an arithmetic number, because the mean of its divisors is an integer number (3757617864).

Almost surely, 2101621316126 is an apocalyptic number.

101621316126 is an abundant number, since it is smaller than the sum of its proper divisors (138866227170).

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

101621316126 is a wasteful number, since it uses less digits than its factorization.

101621316126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209137.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 101621316126 in words is "one hundred one billion, six hundred twenty-one million, three hundred sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 374 451 561 697 902 1122 1353 1394 2091 2706 4182 7667 15334 23001 46002 2209063 4418126 6627189 13254378 24299693 37554071 48599386 72899079 75108142 90571583 112662213 145798158 181143166 225324426 271714749 413094781 543429498 826189562 996287413 1239284343 1539716911 1992574826 2478568686 2988862239 3079433822 4619150733 5977724478 9238301466 16936886021 33873772042 50810658063 101621316126