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114112530012 = 223132953475921
BaseRepresentation
bin110101001000110100…
…0110000011001011100
3101220112200212010222110
41222101220300121130
53332200301430022
6124231135314020
711146546333605
oct1522150603134
9356480763873
10114112530012
1144438603848
121a14807b910
13a9b752b410
14574746adac
152e7d19a00c
hex1a91a3065c

114112530012 has 96 divisors (see below), whose sum is σ = 302229506880. Its totient is φ = 33261096960.

The previous prime is 114112530011. The next prime is 114112530029. The reversal of 114112530012 is 210035211411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114112530011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1812 + ... + 477732.

It is an arithmetic number, because the mean of its divisors is an integer number (3148224030).

Almost surely, 2114112530012 is an apocalyptic number.

114112530012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114112530012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151114753440).

114112530012 is an abundant number, since it is smaller than the sum of its proper divisors (188116976868).

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

114112530012 is a wasteful number, since it uses less digits than its factorization.

114112530012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476023 (or 476021 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 114112530012 its reverse (210035211411), we get a palindrome (324147741423).

The spelling of 114112530012 in words is "one hundred fourteen billion, one hundred twelve million, five hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 53 58 78 87 106 116 156 159 174 212 318 348 377 636 689 754 1131 1378 1508 1537 2067 2262 2756 3074 4134 4524 4611 6148 8268 9222 18444 19981 39962 59943 79924 119886 239772 475921 951842 1427763 1903684 2855526 5711052 6186973 12373946 13801709 18560919 24747892 25223813 27603418 37121838 41405127 50447626 55206836 74243676 75671439 82810254 100895252 151342878 165620508 179422217 302685756 327909569 358844434 538266651 655819138 717688868 731490577 983728707 1076533302 1311638276 1462981154 1967457414 2153066604 2194471731 2925962308 3934914828 4388943462 8777886924 9509377501 19018755002 28528132503 38037510004 57056265006 114112530012