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102436713050 = 25271929531173
BaseRepresentation
bin101111101100110110…
…1000011001001011010
3100210101222202012011012
41133121231003021122
53134242244304200
6115020410133522
710254322460120
oct1373155031132
9323358665135
10102436713050
113a496943741
1217a29a212a2
1398765b0a99
144d5a919910
1529e8113a35
hex17d9b4325a

102436713050 has 96 divisors (see below), whose sum is σ = 237116073600. Its totient is φ = 32125282560.

The previous prime is 102436713047. The next prime is 102436713061. The reversal of 102436713050 is 50317634201.

102436713050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102436712998 and 102436713016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72737 + ... + 458436.

It is an arithmetic number, because the mean of its divisors is an integer number (2469959100).

Almost surely, 2102436713050 is an apocalyptic number.

102436713050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102436713050 is an abundant number, since it is smaller than the sum of its proper divisors (134679360550).

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

102436713050 is a wasteful number, since it uses less digits than its factorization.

102436713050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531240 (or 531235 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 102436713050 in words is "one hundred two billion, four hundred thirty-six million, seven hundred thirteen thousand, fifty".

Divisors: 1 2 5 7 10 14 19 25 29 35 38 50 58 70 95 133 145 175 190 203 266 290 350 406 475 551 665 725 950 1015 1102 1330 1450 2030 2755 3325 3857 5075 5510 6650 7714 10150 13775 19285 27550 38570 96425 192850 531173 1062346 2655865 3718211 5311730 7436422 10092287 13279325 15404017 18591055 20184574 26558650 30808034 37182110 50461435 70646009 77020085 92955275 100922870 107828119 141292018 154040170 185910550 215656238 252307175 292676323 353230045 385100425 504614350 539140595 585352646 706460090 770200850 1078281190 1463381615 1766150225 2048734261 2695702975 2926763230 3532300450 4097468522 5391405950 7316908075 10243671305 14633816150 20487342610 51218356525 102436713050