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10103123311112 = 23131273251235289
BaseRepresentation
bin1001001100000101000100…
…0100110111101000001000
31022202211221000221020110102
42103001101010313220020
52311012144031423422
633253151043304532
72061632546130146
oct223012104675010
938684830836412
1010103123311112
11324578a7a2a77
12117207767b148
13583949a65540
1426cdcacd4596
15127c1347d192
hex93051137a08

10103123311112 has 64 divisors (see below), whose sum is σ = 20567583590400. Its totient is φ = 4624820928000.

The previous prime is 10103123311111. The next prime is 10103123311123. The reversal of 10103123311112 is 21111332130101.

It is not an unprimeable number, because it can be changed into a prime (10103123311111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42821564 + ... + 43056852.

It is an arithmetic number, because the mean of its divisors is an integer number (321368493600).

Almost surely, 210103123311112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103123311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283791795200).

10103123311112 is an abundant number, since it is smaller than the sum of its proper divisors (10464460279288).

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

10103123311112 is a wasteful number, since it uses less digits than its factorization.

10103123311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238686 (or 238682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10103123311112 its reverse (21111332130101), we get a palindrome (31214455441213).

The spelling of 10103123311112 in words is "ten trillion, one hundred three billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3251 3302 6502 6604 13004 13208 26008 42263 84526 169052 235289 338104 412877 470578 825754 941156 1651508 1882312 3058757 3303016 5367401 6117514 10734802 12235028 21469604 24470056 29881703 42939208 59763406 119526812 239053624 388462139 764924539 776924278 1529849078 1553848556 3059698156 3107697112 6119396312 9944019007 19888038014 39776076028 79552152056 97145416453 194290832906 388581665812 777163331624 1262890413889 2525780827778 5051561655556 10103123311112