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101106405234 = 23217757436477
BaseRepresentation
bin101111000101001101…
…0010100111101110010
3100122222021112112220100
41132022122110331302
53124031214431414
6114240405053230
710206340156512
oct1361232247562
9318867475810
10101106405234
1139973a2579a
12177183b7216
1396c3ac39b3
144c71d89842
15296b438609
hex178a694f72

101106405234 has 48 divisors (see below), whose sum is σ = 232256927448. Its totient is φ = 31677682176.

The previous prime is 101106405187. The next prime is 101106405241. The reversal of 101106405234 is 432504601101.

It is a happy number.

101106405234 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 640 + 5 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84114500625 + 16991904609 = 290025^2 + 130353^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101106405198 and 101106405207.

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, 13404 + ... + 449880.

Almost surely, 2101106405234 is an apocalyptic number.

101106405234 is an abundant number, since it is smaller than the sum of its proper divisors (131150522214).

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

101106405234 is a wasteful number, since it uses less digits than its factorization.

101106405234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437259 (or 437256 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 101106405234 in words is "one hundred one billion, one hundred six million, four hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 757 1514 2271 4542 6813 12869 13626 25738 38607 77214 115821 231642 436477 872954 1309431 2618862 3928293 7420109 7856586 14840218 22260327 44520654 66780981 133561962 330413089 660826178 991239267 1982478534 2973717801 5617022513 5947435602 11234045026 16851067539 33702135078 50553202617 101106405234