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101131332 = 22349916889
BaseRepresentation
bin1100000011100…
…10010001000100
321001022000002220
412001302101010
5201342200312
614011332340
72335413351
oct601622104
9231260086
10101131332
11520a4515
1229a510b0
1317c4b733
14d607628
158d29c8c
hex6072444

101131332 has 24 divisors (see below), whose sum is σ = 236460000. Its totient is φ = 33640896.

The previous prime is 101131321. The next prime is 101131339. The reversal of 101131332 is 233131101.

It is not an unprimeable number, because it can be changed into a prime (101131339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (9852500).

Almost surely, 2101131332 is an apocalyptic number.

101131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131332 is an abundant number, since it is smaller than the sum of its proper divisors (135328668).

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

101131332 is a wasteful number, since it uses less digits than its factorization.

101131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17395 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101131332 is about 10056.4075096428. The cubic root of 101131332 is about 465.9027162809.

Adding to 101131332 its reverse (233131101), we get a palindrome (334262433).

The spelling of 101131332 in words is "one hundred one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 499 998 1497 1996 2994 5988 16889 33778 50667 67556 101334 202668 8427611 16855222 25282833 33710444 50565666 101131332