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112135021518 = 23138949932371
BaseRepresentation
bin110100001101111000…
…1001010001111001110
3101201102212211022022010
41220123301022033032
53314123031142033
6123303014402050
711046544645662
oct1503361121716
9351385738263
10112135021518
1143613329403
1219895960326
13a76092a550
1455da9888a2
152db477b863
hex1a1bc4a3ce

112135021518 has 64 divisors (see below), whose sum is σ = 244732320000. Its totient is φ = 34045989120.

The previous prime is 112135021517. The next prime is 112135021543. The reversal of 112135021518 is 815120531211.

It is a super-3 number, since 3×1121350215183 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112135021517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3447873 + ... + 3480243.

It is an arithmetic number, because the mean of its divisors is an integer number (3823942500).

Almost surely, 2112135021518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112135021518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122366160000).

112135021518 is an abundant number, since it is smaller than the sum of its proper divisors (132597298482).

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

112135021518 is a wasteful number, since it uses less digits than its factorization.

112135021518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32977.

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 112135021518 its reverse (815120531211), we get a palindrome (927255552729).

The spelling of 112135021518 in words is "one hundred twelve billion, one hundred thirty-five million, twenty-one thousand, five hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 499 534 998 1157 1497 2314 2994 3471 6487 6942 12974 19461 32371 38922 44411 64742 88822 97113 133233 194226 266466 420823 577343 841646 1154686 1262469 1732029 2524938 2881019 3464058 5762038 8643057 16153129 17286114 32306258 37453247 48459387 74906494 96918774 112359741 209990677 224719482 419981354 629972031 1259944062 1437628481 2875256962 4312885443 8625770886 18689170253 37378340506 56067510759 112135021518