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101131234032 = 24319313577081
BaseRepresentation
bin101111000101111100…
…1000010101011110000
3100200001000020222121110
41132023321002223300
53124104043442112
6114243053153320
710210061206623
oct1361371025360
9320030228543
10101131234032
1139986a43a64
121772478b840
1396c8ca7caa
144c753addba
15296d6e013c
hex178be42af0

101131234032 has 80 divisors (see below), whose sum is σ = 283877227520. Its totient is φ = 30905971200.

The previous prime is 101131234031. The next prime is 101131234093. The reversal of 101131234032 is 230432131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131234031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1760269 + ... + 1816812.

It is an arithmetic number, because the mean of its divisors is an integer number (3548465344).

Almost surely, 2101131234032 is an apocalyptic number.

101131234032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131234032 is an abundant number, since it is smaller than the sum of its proper divisors (182745993488).

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

101131234032 is a wasteful number, since it uses less digits than its factorization.

101131234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577142 (or 3577136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101131234032 its reverse (230432131101), we get a palindrome (331563365133).

The spelling of 101131234032 in words is "one hundred one billion, one hundred thirty-one million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 3577081 7154162 10731243 14308324 21462486 28616648 42924972 57233296 67964539 85849944 110889511 135929078 171699888 203893617 221779022 271858156 332668533 407787234 443558044 543716312 665337066 815574468 887116088 1087432624 1330674132 1631148936 1774232176 2106900709 2661348264 3262297872 4213801418 5322696528 6320702127 8427602836 12641404254 16855205672 25282808508 33710411344 50565617016 101131234032