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10032200112 = 2431119799601
BaseRepresentation
bin10010101011111011…
…10011100110110000
3221220011100120101010
421111331303212300
5131021220400422
64335252510520
7503415202554
oct112575634660
927804316333
1010032200112
114288a08480
121b3b91b440
13c3b5829ac
146b2545864
153dab1db0c
hex255f739b0

10032200112 has 80 divisors (see below), whose sum is σ = 28289796480. Its totient is φ = 3038208000.

The previous prime is 10032200111. The next prime is 10032200131. The reversal of 10032200112 is 21100223001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10032200111) 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, 1040112 + ... + 1049712.

It is an arithmetic number, because the mean of its divisors is an integer number (353622456).

Almost surely, 210032200112 is an apocalyptic number.

10032200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032200112 is an abundant number, since it is smaller than the sum of its proper divisors (18257596368).

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

10032200112 is a wasteful number, since it uses less digits than its factorization.

10032200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11602 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10032200112 its reverse (21100223001), we get a palindrome (31132423113).

The spelling of 10032200112 in words is "ten billion, thirty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1979 3958 5937 7916 9601 11874 15832 19202 21769 23748 28803 31664 38404 43538 47496 57606 65307 76808 87076 94992 105611 115212 130614 153616 174152 211222 230424 261228 316833 348304 422444 460848 522456 633666 844888 1044912 1267332 1689776 2534664 5069328 19000379 38000758 57001137 76001516 114002274 152003032 209004169 228004548 304006064 418008338 456009096 627012507 836016676 912018192 1254025014 1672033352 2508050028 3344066704 5016100056 10032200112