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102100413440432 = 24114121517657581
BaseRepresentation
bin10111001101110000011010…
…110111111110000110110000
3111101111201000100202200011002
4113031300122313332012300
5101340303121320043212
61001052141000141132
730335340265616441
oct2715603267760660
9441451010680132
10102100413440432
112a5945a66a8a70
12b54b8b1a677a8
1344c8048a55b54
141b2d9875c52c8
15bc0cece52ac2
hex5cdc1adfe1b0

102100413440432 has 80 divisors (see below), whose sum is σ = 221077248213024. Its totient is φ = 45275172096000.

The previous prime is 102100413440407. The next prime is 102100413440471. The reversal of 102100413440432 is 234044314001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100413440395 and 102100413440404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154937882 + ... + 155595462.

Almost surely, 2102100413440432 is an apocalyptic number.

It is an amenable number.

102100413440432 is an abundant number, since it is smaller than the sum of its proper divisors (118976834772592).

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

102100413440432 is a wasteful number, since it uses less digits than its factorization.

102100413440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679158 (or 679152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 102100413440432 its reverse (234044314001201), we get a palindrome (336144727441633).

The spelling of 102100413440432 in words is "one hundred two trillion, one hundred billion, four hundred thirteen million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 21517 43034 86068 172136 236687 344272 473374 657581 882197 946748 1315162 1764394 1893496 2630324 3528788 3786992 5260648 7057576 7233391 9704167 10521296 14115152 14466782 19408334 26960821 28933564 38816668 53921642 57867128 77633336 107843284 115734256 155266672 215686568 296569031 431373136 593138062 1186276124 2372552248 4745104496 14149170377 28298340754 56596681508 113193363016 155640874147 226386726032 311281748294 580115985457 622563496588 1160231970914 1245126993176 2320463941828 2490253986352 4640927883656 6381275840027 9281855767312 12762551680054 25525103360108 51050206720216 102100413440432