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112120031130 = 23519296782821
BaseRepresentation
bin110100001101011011…
…1111110011110011010
3101201101211121201100120
41220122313332132122
53314110211444010
6123301321214110
711046303353142
oct1503267763632
9351354551316
10112120031130
114360591a958
1219890931336
13a75a7ac3b3
1455d89a5922
152db32b9e70
hex1a1adfe79a

112120031130 has 64 divisors (see below), whose sum is σ = 293017910400. Its totient is φ = 27348330240.

The previous prime is 112120031081. The next prime is 112120031137. The reversal of 112120031130 is 31130021211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112120031137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3374881 + ... + 3407940.

It is an arithmetic number, because the mean of its divisors is an integer number (4578404850).

Almost surely, 2112120031130 is an apocalyptic number.

112120031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112120031130 is an abundant number, since it is smaller than the sum of its proper divisors (180897879270).

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

112120031130 is a wasteful number, since it uses less digits than its factorization.

112120031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782879.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112120031130 its reverse (31130021211), we get a palindrome (143250052341).

The spelling of 112120031130 in words is "one hundred twelve billion, one hundred twenty million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 8265 16530 6782821 13565642 20348463 33914105 40696926 67828210 101742315 128873599 196701809 203484630 257747198 386620797 393403618 590105427 644367995 773241594 983509045 1180210854 1288735990 1933103985 1967018090 2950527135 3737334371 3866207970 5901054270 7474668742 11212003113 18686671855 22424006226 37373343710 56060015565 112120031130