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10112311120 = 245420130089
BaseRepresentation
bin10010110101011110…
…11001111101010000
3222002202002122000111
421122233121331100
5131202222423440
64351233531104
7505410140422
oct113257317520
928082078014
1010112311120
11431a15501a
121b62713a94
13c52051762
146bd03a812
153e2b954ea
hex25abd9f50

10112311120 has 40 divisors (see below), whose sum is σ = 23517501480. Its totient is φ = 4043827200.

The previous prime is 10112311117. The next prime is 10112311171. The reversal of 10112311120 is 2111321101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20903184 + 10091407936 = 4572^2 + 100456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10112311120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321036 + ... + 351124.

It is an arithmetic number, because the mean of its divisors is an integer number (587937537).

Almost surely, 210112311120 is an apocalyptic number.

10112311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112311120 is an abundant number, since it is smaller than the sum of its proper divisors (13405190360).

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

10112311120 is a wasteful number, since it uses less digits than its factorization.

10112311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34303 (or 34297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10112311120 its reverse (2111321101), we get a palindrome (12223632221).

The spelling of 10112311120 in words is "ten billion, one hundred twelve million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4201 8402 16804 21005 30089 33608 42010 60178 67216 84020 120356 150445 168040 240712 300890 336080 481424 601780 1203560 2407120 126403889 252807778 505615556 632019445 1011231112 1264038890 2022462224 2528077780 5056155560 10112311120