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101130311232 = 2632175573457
BaseRepresentation
bin101111000101111010…
…1100001011001000000
3100200000221112002202200
41132023311201121000
53124103324424412
6114243021313200
710210050314346
oct1361365413100
9320027462680
10101130311232
1139986473715
1217724405800
1396c8a43c62
144c7520d996
15296d5ab9dc
hex178bd61640

101130311232 has 42 divisors (see below), whose sum is σ = 289871779158. Its totient is φ = 33710103552.

The previous prime is 101130311231. The next prime is 101130311257. The reversal of 101130311232 is 232113031101.

101130311232 is a `hidden beast` number, since 10 + 113 + 0 + 311 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52631701056 + 48498610176 = 229416^2 + 220224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101130311231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 87786153 + ... + 87787304.

Almost surely, 2101130311232 is an apocalyptic number.

101130311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101130311232 is an abundant number, since it is smaller than the sum of its proper divisors (188741467926).

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

101130311232 is a wasteful number, since it uses less digits than its factorization.

101130311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175573475 (or 175573462 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101130311232 its reverse (232113031101), we get a palindrome (333243342333).

The spelling of 101130311232 in words is "one hundred one billion, one hundred thirty million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 175573457 351146914 526720371 702293828 1053440742 1404587656 1580161113 2106881484 2809175312 3160322226 4213762968 5618350624 6320644452 8427525936 11236701248 12641288904 16855051872 25282577808 33710103744 50565155616 101130311232