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112100012010 = 23257177936527
BaseRepresentation
bin110100001100110101…
…1100110111111101010
3101201100102221122021200
41220121223212333222
53314040100341020
6123255324145030
711045641244310
oct1503153467752
9351312848250
10112100012010
11435a5597228
1219886098176
13a7565c036c
1455d60740b0
152db1663590
hex1a19ae6fea

112100012010 has 48 divisors (see below), whose sum is σ = 333097180416. Its totient is φ = 25622859744.

The previous prime is 112100011943. The next prime is 112100012047. The reversal of 112100012010 is 10210001211.

It is a happy number.

112100012010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112100011983 and 112100012001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88967634 + ... + 88968893.

It is an arithmetic number, because the mean of its divisors is an integer number (6939524592).

Almost surely, 2112100012010 is an apocalyptic number.

112100012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112100012010 is an abundant number, since it is smaller than the sum of its proper divisors (220997168406).

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

112100012010 is a wasteful number, since it uses less digits than its factorization.

112100012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177936547 (or 177936544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112100012010 its reverse (10210001211), we get a palindrome (122310013221).

The spelling of 112100012010 in words is "one hundred twelve billion, one hundred million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 177936527 355873054 533809581 889682635 1067619162 1245555689 1601428743 1779365270 2491111378 2669047905 3202857486 3736667067 5338095810 6227778445 7473334134 8007143715 11210001201 12455556890 16014287430 18683335335 22420002402 37366670670 56050006005 112100012010