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102365530345 = 51317269521661
BaseRepresentation
bin101111101010101110…
…1100000100011101001
3100210020000210201211201
41133111131200203221
53134121033432340
6115005344324201
710252466436301
oct1372535404351
9323200721751
10102365530345
113a45a745061
1217a0a013661
139864919b40
144d512aa601
1529e1c5279a
hex17d57608e9

102365530345 has 64 divisors (see below), whose sum is σ = 141073047360. Its totient is φ = 70638796800.

The previous prime is 102365530331. The next prime is 102365530441. The reversal of 102365530345 is 543035563201.

It can be written as a sum of positive squares in 32 ways, for example, as 82927872784 + 19437657561 = 287972^2 + 139419^2 .

It is not a de Polignac number, because 102365530345 - 27 = 102365530217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154864315 + ... + 154864975.

It is an arithmetic number, because the mean of its divisors is an integer number (2204266365).

Almost surely, 2102365530345 is an apocalyptic number.

It is an amenable number.

102365530345 is a deficient number, since it is larger than the sum of its proper divisors (38707517015).

102365530345 is a wasteful number, since it uses less digits than its factorization.

102365530345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486.

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 102365530345 in words is "one hundred two billion, three hundred sixty-five million, five hundred thirty thousand, three hundred forty-five".

Divisors: 1 5 13 17 65 85 221 269 521 661 1105 1345 2605 3305 3497 4573 6773 8593 8857 11237 17485 22865 33865 42965 44285 56185 59449 115141 140149 146081 177809 297245 344381 575705 700745 730405 889045 1721905 1821937 2311517 2382533 3022753 4476953 5854477 9109685 11557585 11912665 15113765 22384765 29272385 30972929 39295789 76108201 92638489 154864645 196478945 380541005 463192445 1204300357 1574854313 6021501785 7874271565 20473106069 102365530345