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10041200112 = 2433316191021
BaseRepresentation
bin10010101101000000…
…01000110111110000
3221220210021211001110
421112200020313300
5131031021400422
64340213433320
7503554535616
oct112640106760
927823254043
1010041200112
114292aa5299
121b4293b840
13c403b4338
146b38096b6
153db7ea60c
hex256808df0

10041200112 has 80 divisors (see below), whose sum is σ = 26085691520. Its totient is φ = 3328300800.

The previous prime is 10041200107. The next prime is 10041200159. The reversal of 10041200112 is 21100214001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9834162 + ... + 9835182.

It is an arithmetic number, because the mean of its divisors is an integer number (326071144).

Almost surely, 210041200112 is an apocalyptic number.

10041200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041200112 is an abundant number, since it is smaller than the sum of its proper divisors (16044491408).

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

10041200112 is a wasteful number, since it uses less digits than its factorization.

10041200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10041200112 its reverse (21100214001), we get a palindrome (31141414113).

The spelling of 10041200112 in words is "ten billion, forty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 331 619 662 993 1021 1238 1324 1857 1986 2042 2476 2648 3063 3714 3972 4084 4952 5296 6126 7428 7944 8168 9904 12252 14856 15888 16336 24504 29712 49008 204889 337951 409778 614667 631999 675902 819556 1013853 1229334 1263998 1351804 1639112 1895997 2027706 2458668 2527996 2703608 3278224 3791994 4055412 4917336 5055992 5407216 7583988 8110824 9834672 10111984 15167976 16221648 30335952 209191669 418383338 627575007 836766676 1255150014 1673533352 2510300028 3347066704 5020600056 10041200112