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101239138792 = 231113713960413
BaseRepresentation
bin101111001001001010…
…0101010100111101000
3100200022112022010010001
41132102110222213220
53124314204420132
6114301510032344
710212541324021
oct1362224524750
9320275263101
10101239138792
1139a31944450
12177549486b4
13971545876c
144c8585bc48
152977e06ce7
hex179252a9e8

101239138792 has 64 divisors (see below), whose sum is σ = 210095726400. Its totient is φ = 45352496640.

The previous prime is 101239138787. The next prime is 101239138807. The reversal of 101239138792 is 297831932101.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645578 + ... + 1705990.

It is an arithmetic number, because the mean of its divisors is an integer number (3282745725).

Almost surely, 2101239138792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101239138792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105047863200).

101239138792 is an abundant number, since it is smaller than the sum of its proper divisors (108856587608).

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

101239138792 is a wasteful number, since it uses less digits than its factorization.

101239138792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60706 (or 60702 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 101239138792 in words is "one hundred one billion, two hundred thirty-nine million, one hundred thirty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 137 139 274 278 548 556 1096 1112 1507 1529 3014 3058 6028 6116 12056 12232 19043 38086 60413 76172 120826 152344 209473 241652 418946 483304 664543 837892 1329086 1675784 2658172 5316344 8276581 8397407 16553162 16794814 33106324 33589628 66212648 67179256 91042391 92371477 182084782 184742954 364169564 369485908 728339128 738971816 1150444759 2300889518 4601779036 9203558072 12654892349 25309784698 50619569396 101239138792