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110411130120 = 23351754123103
BaseRepresentation
bin110011011010100000…
…1000010010100001000
3101112222202000112212120
41212311001002110020
53302110222130440
6122415553411240
710656043056354
oct1466501022410
9345882015776
10110411130120
1142909228275
1219494569b20
13a547737575
1454b5a44464
152d13258dd0
hex19b5042508

110411130120 has 64 divisors (see below), whose sum is σ = 350717713920. Its totient is φ = 27711028224.

The previous prime is 110411130101. The next prime is 110411130127. The reversal of 110411130120 is 21031114011.

It is a super-4 number, since 4×1104111301204 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110411130120.

It is not an unprimeable number, because it can be changed into a prime (110411130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27059512 + ... + 27063591.

It is an arithmetic number, because the mean of its divisors is an integer number (5479964280).

Almost surely, 2110411130120 is an apocalyptic number.

110411130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110411130120 is an abundant number, since it is smaller than the sum of its proper divisors (240306583800).

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

110411130120 is a wasteful number, since it uses less digits than its factorization.

110411130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54123134 (or 54123130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110411130120 its reverse (21031114011), we get a palindrome (131442244131).

The spelling of 110411130120 in words is "one hundred ten billion, four hundred eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 54123103 108246206 162369309 216492412 270615515 324738618 432984824 541231030 649477236 811846545 920092751 1082462060 1298954472 1623693090 1840185502 2164924120 2760278253 3247386180 3680371004 4600463755 5520556506 6494772360 7360742008 9200927510 11041113012 13801391265 18401855020 22082226024 27602782530 36803710040 55205565060 110411130120