Search a number
-
+
101342232042 = 23437322923497
BaseRepresentation
bin101111001100001110…
…1111011110111101010
3100200120201021210110120
41132120131323313222
53130022102411132
6114320031424110
710215232521312
oct1363035736752
9320521253416
10101342232042
1139a85058987
1217783385036
13973091319c
144c95416442
152981ebd02c
hex179877bdea

101342232042 has 64 divisors (see below), whose sum is σ = 211166186880. Its totient is φ = 32399668224.

The previous prime is 101342231989. The next prime is 101342232049. The reversal of 101342232042 is 240232243101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101342232049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4301238 + ... + 4324734.

It is an arithmetic number, because the mean of its divisors is an integer number (3299471670).

Almost surely, 2101342232042 is an apocalyptic number.

101342232042 is an abundant number, since it is smaller than the sum of its proper divisors (109823954838).

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

101342232042 is a wasteful number, since it uses less digits than its factorization.

101342232042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23847.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101342232042 its reverse (240232243101), we get a palindrome (341574475143).

The spelling of 101342232042 in words is "one hundred one billion, three hundred forty-two million, two hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 43 73 86 129 146 219 229 258 438 458 687 1374 3139 6278 9417 9847 16717 18834 19694 23497 29541 33434 46994 50151 59082 70491 100302 140982 718831 1010371 1437662 1715281 2020742 2156493 3031113 3430562 4312986 5145843 5380813 6062226 10291686 10761626 16142439 32284878 73757083 147514166 221271249 231374959 392799349 442542498 462749918 694124877 785598698 1178398047 1388249754 2356796094 16890372007 33780744014 50671116021 101342232042