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114525312102 = 23410325432699
BaseRepresentation
bin110101010101000111…
…1011001010001100110
3101221121110120122120000
41222222033121101212
53334021434441402
6124340122522130
711163021043125
oct1525217312146
9357543518500
10114525312102
114462a60a073
121a242366346
13aa51bc6986
1457861dbabc
152ea4535c1c
hex1aaa3d9466

114525312102 has 80 divisors (see below), whose sum is σ = 259310937600. Its totient is φ = 37775604528.

The previous prime is 114525312089. The next prime is 114525312107. The reversal of 114525312102 is 201213525411.

It is a happy number.

114525312102 is a `hidden beast` number, since 1 + 1 + 4 + 525 + 31 + 2 + 102 = 666.

It is a super-2 number, since 2×1145253121022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525312107) 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 39 ways as a sum of consecutive naturals, for example, 42431149 + ... + 42433847.

It is an arithmetic number, because the mean of its divisors is an integer number (3241386720).

Almost surely, 2114525312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114525312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129655468800).

114525312102 is an abundant number, since it is smaller than the sum of its proper divisors (144785625498).

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

114525312102 is a wasteful number, since it uses less digits than its factorization.

114525312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114525312102 its reverse (201213525411), we get a palindrome (315738837513).

The spelling of 114525312102 in words is "one hundred fourteen billion, five hundred twenty-five million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2543 2699 2781 5086 5398 5562 7629 8097 8343 15258 16194 16686 22887 24291 45774 48582 68661 72873 137322 145746 205983 218619 261929 277997 411966 437238 523858 555994 785787 833991 1571574 1667982 2357361 2501973 4714722 5003946 6863557 7072083 7505919 13727114 14144166 15011838 20590671 21216249 22517757 41181342 42432498 45035514 61772013 123544026 185316039 370632078 555948117 706946371 1111896234 1413892742 2120839113 4241678226 6362517339 12725034678 19087552017 38175104034 57262656051 114525312102