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102242321232 = 24341157330907
BaseRepresentation
bin101111100111000011…
…1100000001101010000
3100202220102222001201020
41133032013200031100
53133343013234412
6114545223435440
710246442251122
oct1371607401520
9322812861636
10102242321232
113a3a7141247
12179948b5b80
13984523b33c
144d3cb97212
1529d601618c
hex17ce1e0350

102242321232 has 80 divisors (see below), whose sum is σ = 272292280512. Its totient is φ = 33037655040.

The previous prime is 102242321173. The next prime is 102242321261. The reversal of 102242321232 is 232123242201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143523 + ... + 474429.

Almost surely, 2102242321232 is an apocalyptic number.

102242321232 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 102242321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136146140256).

102242321232 is an abundant number, since it is smaller than the sum of its proper divisors (170049959280).

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

102242321232 is a wasteful number, since it uses less digits than its factorization.

102242321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331116 (or 331110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102242321232 its reverse (232123242201), we get a palindrome (334365563433).

The spelling of 102242321232 in words is "one hundred two billion, two hundred forty-two million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 157 164 246 314 328 471 492 628 656 942 984 1256 1884 1968 2512 3768 6437 7536 12874 19311 25748 38622 51496 77244 102992 154488 308976 330907 661814 992721 1323628 1985442 2647256 3970884 5294512 7941768 13567187 15883536 27134374 40701561 51952399 54268748 81403122 103904798 108537496 155857197 162806244 207809596 217074992 311714394 325612488 415619192 623428788 651224976 831238384 1246857576 2130048359 2493715152 4260096718 6390145077 8520193436 12780290154 17040386872 25560580308 34080773744 51121160616 102242321232