Search a number
-
+
230200103311008 = 25310921999245347
BaseRepresentation
bin110100010101110110100011…
…011000101001011010100000
31010012001220201000000020121120
4310111312203120221122200
5220133044302421423013
62133332244553052240
766326260105053225
oct6425664330513240
91105056630006546
10230200103311008
11673923520186a6
122199a3a49b7080
139b5aa1324cb6c
1440bba5caa594c
151b930763e8123
hexd15da36296a0

230200103311008 has 48 divisors (see below), whose sum is σ = 609819081046560. Its totient is φ = 76029391915776.

The previous prime is 230200103310997. The next prime is 230200103311021. The reversal of 230200103311008 is 800113301002032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10999612210 + ... + 10999633137.

It is an arithmetic number, because the mean of its divisors is an integer number (12704564188470).

Almost surely, 2230200103311008 is an apocalyptic number.

It is an amenable number.

230200103311008 is an abundant number, since it is smaller than the sum of its proper divisors (379618977735552).

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

230200103311008 is a wasteful number, since it uses less digits than its factorization.

230200103311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21999245469 (or 21999245461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 230200103311008 in words is "two hundred thirty trillion, two hundred billion, one hundred three million, three hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 21999245347 43998490694 65997736041 87996981388 131995472082 175993962776 263990944164 351987925552 527981888328 703975851104 1055963776656 2111927553312 2397917742823 4795835485646 7193753228469 9591670971292 14387506456938 19183341942584 28775012913876 38366683885168 57550025827752 76733367770336 115100051655504 230200103311008