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10112010112 = 27791019901
BaseRepresentation
bin10010110101011100…
…10000011110000000
3222002201112100010001
421122232100132000
5131202133310422
64351223245344
7505404445021
oct113256203600
928081470101
1010112010112
114319a69956
121b625a9854
13c51c77749
146bcd9cc48
153e2b36227
hex25ab90780

10112010112 has 64 divisors (see below), whose sum is σ = 20604081600. Its totient is φ = 4942080000.

The previous prime is 10112010049. The next prime is 10112010137. The reversal of 10112010112 is 21101021101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1016362 + ... + 1026262.

It is an arithmetic number, because the mean of its divisors is an integer number (321938775).

Almost surely, 210112010112 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 10112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302040800).

10112010112 is an abundant number, since it is smaller than the sum of its proper divisors (10492071488).

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

10112010112 is an equidigital number, since it uses as much as digits as its factorization.

10112010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10112010112 its reverse (21101021101), we get a palindrome (31213031213).

The spelling of 10112010112 in words is "ten billion, one hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 101 128 158 202 316 404 632 808 1264 1616 2528 3232 5056 6464 7979 9901 10112 12928 15958 19802 31916 39604 63832 79208 127664 158416 255328 316832 510656 633664 782179 1000001 1021312 1267328 1564358 2000002 3128716 4000004 6257432 8000008 12514864 16000016 25029728 32000032 50059456 64000064 79000079 100118912 128000128 158000158 316000316 632000632 1264001264 2528002528 5056005056 10112010112