Search a number
-
+
101009591046 = 23271361666417
BaseRepresentation
bin101111000010010100…
…1000000101100000110
3100122201112100212210200
41132010221000230012
53123331423403141
6114223030031330
710204053233430
oct1360451005406
9318645325720
10101009591046
113992430a871
12176abaa8546
1396a9a272b0
144c63187650
152962bb2ab6
hex1784a40b06

101009591046 has 48 divisors (see below), whose sum is σ = 269358913824. Its totient is φ = 26639891712.

The previous prime is 101009591017. The next prime is 101009591069. The reversal of 101009591046 is 640195900101.

101009591046 is a `hidden beast` number, since 10 + 10 + 0 + 9 + 591 + 0 + 46 = 666.

101009591046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101009591046.

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, 30831571 + ... + 30834846.

It is an arithmetic number, because the mean of its divisors is an integer number (5611644038).

Almost surely, 2101009591046 is an apocalyptic number.

101009591046 is an abundant number, since it is smaller than the sum of its proper divisors (168349322778).

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

101009591046 is a wasteful number, since it uses less digits than its factorization.

101009591046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61666445 (or 61666442 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 101009591046 in words is "one hundred one billion, nine million, five hundred ninety-one thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 61666417 123332834 184999251 369998502 431664919 554997753 801663421 863329838 1109995506 1294994757 1603326842 2404990263 2589989514 3884984271 4809980526 5611643947 7214970789 7769968542 11223287894 14429941578 16834931841 33669863682 50504795523 101009591046