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10122112110 = 23511731373067
BaseRepresentation
bin10010110110101001…
…10010110001101110
3222010102112120110010
421123110302301232
5131212230041420
64352223554050
7505556350635
oct113324626156
928112476403
1010122112110
114324739710
121b65a5b926
13c540a3866
146c046c51c
153e397e4e0
hex25b532c6e

10122112110 has 128 divisors (see below), whose sum is σ = 27069479424. Its totient is φ = 2401781760.

The previous prime is 10122112109. The next prime is 10122112111. The reversal of 10122112110 is 1121122101.

It is an interprime number because it is at equal distance from previous prime (10122112109) and next prime (10122112111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122112111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3298797 + ... + 3301863.

It is an arithmetic number, because the mean of its divisors is an integer number (211480308).

Almost surely, 210122112110 is an apocalyptic number.

10122112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534739712).

10122112110 is an abundant number, since it is smaller than the sum of its proper divisors (16947367314).

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

10122112110 is a wasteful number, since it uses less digits than its factorization.

10122112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122112110 its reverse (1121122101), we get a palindrome (11243234211).

Subtracting from 10122112110 its reverse (1121122101), we obtain a palindrome (9000990009).

The spelling of 10122112110 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 137 146 165 219 274 330 365 411 438 685 730 803 822 1095 1370 1507 1606 2055 2190 2409 3014 3067 4015 4110 4521 4818 6134 7535 8030 9042 9201 10001 12045 15070 15335 18402 20002 22605 24090 30003 30670 33737 45210 46005 50005 60006 67474 92010 100010 101211 110011 150015 168685 202422 220022 223891 300030 330033 337370 420179 447782 506055 550055 660066 671673 840358 1012110 1100110 1119455 1260537 1343346 1650165 2100895 2238910 2462801 2521074 3300330 3358365 4201790 4621969 4925602 6302685 6716730 7388403 9243938 12314005 12605370 13865907 14776806 23109845 24628010 27731814 30673067 36942015 46219690 61346134 69329535 73884030 92019201 138659070 153365335 184038402 306730670 337403737 460096005 674807474 920192010 1012211211 1687018685 2024422422 3374037370 5061056055 10122112110