Search a number
-
+
15103465315345 = 51123292231846219
BaseRepresentation
bin1101101111001000110010…
…1011110101110000010001
31222110212200110120222111001
43123302030223311300101
53434423344110042340
652042234114222001
73116121643645231
oct333621453656021
958425613528431
1015103465315345
1148a3386473360
12183b19bb84901
13857334943474
143a3023c65cc1
151b2d20c0929a
hexdbc8caf5c11

15103465315345 has 64 divisors (see below), whose sum is σ = 21438602035200. Its totient is φ = 10098960157440.

The previous prime is 15103465315331. The next prime is 15103465315363. The reversal of 15103465315345 is 54351356430151.

It is not a de Polignac number, because 15103465315345 - 235 = 15069105576977 is a prime.

It is a super-2 number, since 2×151034653153452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15103465315295 and 15103465315304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7257646 + ... + 9103864.

It is an arithmetic number, because the mean of its divisors is an integer number (334978156800).

Almost surely, 215103465315345 is an apocalyptic number.

It is an amenable number.

15103465315345 is a deficient number, since it is larger than the sum of its proper divisors (6335136719855).

15103465315345 is a wasteful number, since it uses less digits than its factorization.

15103465315345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846510.

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 15103465315345 in words is "fifteen trillion, one hundred three billion, four hundred sixty-five million, three hundred fifteen thousand, three hundred forty-five".

Divisors: 1 5 11 23 29 55 115 145 223 253 319 667 1115 1265 1595 2453 3335 5129 6467 7337 12265 25645 32335 36685 56419 71137 148741 282095 355685 743705 1636151 1846219 8180755 9231095 20308409 42463037 53540351 101542045 212315185 267701755 411706837 467093407 588943861 1231428073 2058534185 2335467035 2944719305 4528775207 6157140365 9469257251 11939498273 13545708803 22643876035 47346286255 59697491365 67728544015 104161829761 131334481003 274608460279 520809148805 656672405015 1373042301395 3020693063069 15103465315345