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102124831614 = 23138377320407
BaseRepresentation
bin101111100011100011…
…1010100001101111110
3100202121020212222020220
41133013013110031332
53133122424102424
6114525425322210
710243514513601
oct1370707241576
9322536788226
10102124831614
113a346894593
1217961496366
139826ab2c60
144d2b332338
1529caa59579
hex17c71d437e

102124831614 has 64 divisors (see below), whose sum is σ = 222910216704. Its totient is φ = 31002754176.

The previous prime is 102124831583. The next prime is 102124831619. The reversal of 102124831614 is 416138421201.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124831619) 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, 4994199 + ... + 5014605.

It is an arithmetic number, because the mean of its divisors is an integer number (3482972136).

Almost surely, 2102124831614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102124831614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111455108352).

102124831614 is an abundant number, since it is smaller than the sum of its proper divisors (120785385090).

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

102124831614 is a wasteful number, since it uses less digits than its factorization.

102124831614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21281.

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 102124831614 in words is "one hundred two billion, one hundred twenty-four million, eight hundred thirty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 773 1079 1546 2158 2319 3237 4638 6474 10049 20098 20407 30147 40814 60294 61221 64159 122442 128318 192477 265291 384954 530582 795873 834067 1591746 1668134 1693781 2502201 3387562 5004402 5081343 10162686 15774611 22019153 31549222 44038306 47323833 66057459 94647666 132114918 205069943 410139886 615209829 1230419658 1309292713 2618585426 3927878139 7855756278 17020805269 34041610538 51062415807 102124831614