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102331203104 = 25132937229253
BaseRepresentation
bin101111101001101101…
…0100011111000100000
3100210010122012201201102
41133103122203320200
53134033241444404
6115002120453532
710251601606004
oct1372332437040
9323118181642
10102331203104
113a442329539
12179ba61a2a8
13985a78b370
144d4a8d2704
1529ddc2171e
hex17d36a3e20

102331203104 has 96 divisors (see below), whose sum is σ = 230510311920. Its totient is φ = 44368515072.

The previous prime is 102331203077. The next prime is 102331203109. The reversal of 102331203104 is 401302133201.

It can be written as a sum of positive squares in 8 ways, for example, as 69141650704 + 33189552400 = 262948^2 + 182180^2 .

It is not an unprimeable number, because it can be changed into a prime (102331203109) 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 15 ways as a sum of consecutive naturals, for example, 331742 + ... + 560994.

Almost surely, 2102331203104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102331203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115255155960).

102331203104 is an abundant number, since it is smaller than the sum of its proper divisors (128179108816).

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

102331203104 is a wasteful number, since it uses less digits than its factorization.

102331203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229342 (or 229334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102331203104 its reverse (401302133201), we get a palindrome (503633336305).

The spelling of 102331203104 in words is "one hundred two billion, three hundred thirty-one million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 37 52 58 74 104 116 148 208 232 296 377 416 464 481 592 754 928 962 1073 1184 1508 1924 2146 3016 3848 4292 6032 7696 8584 12064 13949 15392 17168 27898 34336 55796 111592 223184 229253 446368 458506 917012 1834024 2980289 3668048 5960578 6648337 7336096 8482361 11921156 13296674 16964722 23842312 26593348 33929444 47684624 53186696 67858888 86428381 95369248 106373392 110270693 135717776 172856762 212746784 220541386 245988469 271435552 345713524 441082772 491976938 691427048 882165544 983953876 1382854096 1764331088 1967907752 2765708192 3197850097 3528662176 3935815504 6395700194 7871631008 12791400388 25582800776 51165601552 102331203104