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101141131344 = 24311973319681
BaseRepresentation
bin101111000110001111…
…0110011000001010000
3100200001200212211011120
41132030132303001100
53124114112200334
6114244045242240
710210241301021
oct1361436630120
9320050784146
10101141131344
1139991593a60
1217727b63380
1396cb061ba6
144c76828c48
15296e4e7949
hex178c7b3050

101141131344 has 80 divisors (see below), whose sum is σ = 285077866944. Its totient is φ = 30644121600.

The previous prime is 101141131337. The next prime is 101141131369. The reversal of 101141131344 is 443131141101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5129184 + ... + 5148864.

Almost surely, 2101141131344 is an apocalyptic number.

It is an amenable number.

101141131344 is an abundant number, since it is smaller than the sum of its proper divisors (183936735600).

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

101141131344 is a wasteful number, since it uses less digits than its factorization.

101141131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29436 (or 29430 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101141131344 its reverse (443131141101), we get a palindrome (544272272445).

The spelling of 101141131344 in words is "one hundred one billion, one hundred forty-one million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9733 19466 19681 29199 38932 39362 58398 59043 77864 78724 107063 116796 118086 155728 157448 214126 216491 233592 236172 314896 321189 428252 432982 467184 472344 642378 649473 856504 865964 944688 1284756 1298946 1713008 1731928 2569512 2597892 3463856 5139024 5195784 10391568 191555173 383110346 574665519 766220692 1149331038 1532441384 2107106903 2298662076 3064882768 4214213806 4597324152 6321320709 8428427612 9194648304 12642641418 16856855224 25285282836 33713710448 50570565672 101141131344