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10000110912 = 263118357047
BaseRepresentation
bin10010101000000110…
…11001010101000000
3221210220222021021020
421110003121111000
5130440012022122
64332145025440
7502545353211
oct112403312500
927726867236
1010000110912
114271890380
121b31025280
13c34a28abc
146ac191408
153d7dd0c5c
hex2540d9540

10000110912 has 112 divisors (see below), whose sum is σ = 29212227072. Its totient is φ = 2993774080.

The previous prime is 10000110881. The next prime is 10000110931. The reversal of 10000110912 is 21901100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000110891 and 10000110900.

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, 146773 + ... + 203819.

It is an arithmetic number, because the mean of its divisors is an integer number (260823456).

Almost surely, 210000110912 is an apocalyptic number.

10000110912 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 10000110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606113536).

10000110912 is an abundant number, since it is smaller than the sum of its proper divisors (19212116160).

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

10000110912 is a wasteful number, since it uses less digits than its factorization.

10000110912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57156 (or 57146 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10000110912 its reverse (21901100001), we get a palindrome (31901210913).

The spelling of 10000110912 in words is "ten billion, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3984 5312 5478 7304 7968 10956 14608 15936 21912 29216 43824 57047 58432 87648 114094 171141 175296 228188 342282 456376 627517 684564 912752 1255034 1369128 1825504 1882551 2510068 2738256 3651008 3765102 4734901 5020136 5476512 7530204 9469802 10040272 10953024 14204703 15060408 18939604 20080544 28409406 30120816 37879208 40161088 52083911 56818812 60241632 75758416 104167822 113637624 120483264 151516832 156251733 208335644 227275248 303033664 312503466 416671288 454550496 625006932 833342576 909100992 1250013864 1666685152 2500027728 3333370304 5000055456 10000110912