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10000010112 = 27361426913
BaseRepresentation
bin10010101000000110…
…00000101110000000
3221210220210010222220
421110003000232000
5130440000310422
64332142531040
7502544453301
oct112403005600
927726703886
1010000010112
114271821674
121b30b96a80
13c349c1c61
146ac1667a8
153d7db0e5c
hex2540c0b80

10000010112 has 64 divisors (see below), whose sum is σ = 26998041360. Its totient is φ = 3278684160.

The previous prime is 10000010089. The next prime is 10000010117. The reversal of 10000010112 is 21101000001.

It is a tau number, because it is divible by the number of its divisors (64).

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 10000010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000010117) 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, 190033 + ... + 236880.

Almost surely, 210000010112 is an apocalyptic number.

10000010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000010112 is an abundant number, since it is smaller than the sum of its proper divisors (16998031248).

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

10000010112 is an equidigital number, since it uses as much as digits as its factorization.

10000010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426991 (or 426979 counting only the distinct ones).

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

Adding to 10000010112 its reverse (21101000001), we get a palindrome (31101010113).

The spelling of 10000010112 in words is "ten billion, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 23424 426913 853826 1280739 1707652 2561478 3415304 5122956 6830608 10245912 13661216 20491824 26041693 27322432 40983648 52083386 54644864 78125079 81967296 104166772 156250158 163934592 208333544 312500316 416667088 625000632 833334176 1250001264 1666668352 2500002528 3333336704 5000005056 10000010112