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13212510345 = 335297147533
BaseRepresentation
bin11000100111000011…
…01110100010001001
31021002210200001212000
430103201232202021
5204024400312340
610023021541213
7645263325216
oct142341564211
937083601760
1013212510345
115670132641
122688a14809
131327419378
148d4a86b0d
15524e2cd30
hex31386e889

13212510345 has 64 divisors (see below), whose sum is σ = 24641625600. Its totient is φ = 6707715840.

The previous prime is 13212510329. The next prime is 13212510373. The reversal of 13212510345 is 54301521231.

13212510345 is a `hidden beast` number, since 132 + 12 + 510 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 13212510345 - 24 = 13212510329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 254199 + ... + 301731.

It is an arithmetic number, because the mean of its divisors is an integer number (385025400).

Almost surely, 213212510345 is an apocalyptic number.

13212510345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13212510345 is a deficient number, since it is larger than the sum of its proper divisors (11429115255).

13212510345 is a wasteful number, since it uses less digits than its factorization.

13212510345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47647 (or 47641 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13212510345 in words is "thirteen billion, two hundred twelve million, five hundred ten thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 71 87 135 145 213 261 355 435 639 783 1065 1305 1917 2059 3195 3915 6177 9585 10295 18531 30885 47533 55593 92655 142599 237665 277965 427797 712995 1283391 1378457 2138985 3374843 4135371 6416955 6892285 10124529 12406113 16874215 20676855 30373587 37218339 50622645 62030565 91120761 97870447 151867935 186091695 293611341 455603805 489352235 880834023 1468056705 2642502069 4404170115 13212510345