Search a number
-
+
10001000112 = 2434150310103
BaseRepresentation
bin10010101000001101…
…10010011010110000
3221210222122110000120
421110012302122300
5130440224000422
64332220050240
7502556045505
oct112406623260
927728573016
1010001000112
114272338454
121b31393980
13c34c7a75c
146ac3434ac
153d800945c
hex2541b26b0

10001000112 has 80 divisors (see below), whose sum is σ = 26521302528. Its totient is φ = 3245570560.

The previous prime is 10001000089. The next prime is 10001000123. The reversal of 10001000112 is 21100010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10001000112.

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, 984853 + ... + 994955.

Almost surely, 210001000112 is an apocalyptic number.

10001000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260651264).

10001000112 is an abundant number, since it is smaller than the sum of its proper divisors (16520302416).

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

10001000112 is a wasteful number, since it uses less digits than its factorization.

10001000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001000112 its reverse (21100010001), we get a palindrome (31101010113).

The spelling of 10001000112 in words is "ten billion, one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 503 656 984 1006 1509 1968 2012 3018 4024 6036 8048 10103 12072 20206 20623 24144 30309 40412 41246 60618 61869 80824 82492 121236 123738 161648 164984 242472 247476 329968 414223 484944 494952 828446 989904 1242669 1656892 2485338 3313784 4970676 5081809 6627568 9941352 10163618 15245427 19882704 20327236 30490854 40654472 60981708 81308944 121963416 208354169 243926832 416708338 625062507 833416676 1250125014 1666833352 2500250028 3333666704 5000500056 10001000112