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1005413255112 = 23377184290179
BaseRepresentation
bin11101010000101110100…
…11001100011111001000
310120010010222102021111010
432220113103030133020
5112433041243130422
62045514103203520
7132432035442630
oct16502723143710
93503128367433
101005413255112
11358436631652
12142a32a465a0
1373a6b92a086
143693b35d6c0
151b246aedb0c
hexea174cc7c8

1005413255112 has 64 divisors (see below), whose sum is σ = 2913068620800. Its totient is φ = 283214998080.

The previous prime is 1005413255107. The next prime is 1005413255131. The reversal of 1005413255112 is 2115523145001.

1005413255112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1005413255112.

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, 42133162 + ... + 42157017.

It is an arithmetic number, because the mean of its divisors is an integer number (45516697200).

Almost surely, 21005413255112 is an apocalyptic number.

1005413255112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005413255112 is an abundant number, since it is smaller than the sum of its proper divisors (1907655365688).

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

1005413255112 is a wasteful number, since it uses less digits than its factorization.

1005413255112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84290266 (or 84290262 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1005413255112 in words is "one trillion, five billion, four hundred thirteen million, two hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11928 84290179 168580358 252870537 337160716 505741074 590031253 674321432 1011482148 1180062506 1770093759 2022964296 2360125012 3540187518 4720250024 5984602709 7080375036 11969205418 14160750072 17953808127 23938410836 35907616254 41892218963 47876821672 71815232508 83784437926 125676656889 143630465016 167568875852 251353313778 335137751704 502706627556 1005413255112