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230233303121120 = 25513110689088039
BaseRepresentation
bin110100010110010101011110…
…001111110111110011100000
31010012012002101202022100021022
4310112111132033313303200
5220134120301044333440
62133355415212145012
766331543610561435
oct6426253617676340
91105162352270238
10230233303121120
11673a54394953a2
12219a490b468168
139b60ba4518210
1440bd4cc089b8c
151b93d6add3cb5
hexd1655e3f7ce0

230233303121120 has 48 divisors (see below), whose sum is σ = 585766653907680. Its totient is φ = 85009219613184.

The previous prime is 230233303121093. The next prime is 230233303121147. The reversal of 230233303121120 is 21121303332032.

It is an interprime number because it is at equal distance from previous prime (230233303121093) and next prime (230233303121147).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 230233303121120.

It is a congruent number.

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, 55344541940 + ... + 55344546099.

It is an arithmetic number, because the mean of its divisors is an integer number (12203471956410).

Almost surely, 2230233303121120 is an apocalyptic number.

230233303121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233303121120 is an abundant number, since it is smaller than the sum of its proper divisors (355533350786560).

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

230233303121120 is a wasteful number, since it uses less digits than its factorization.

230233303121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110689088067 (or 110689088059 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 230233303121120 its reverse (21121303332032), we get a palindrome (251354606453152).

The spelling of 230233303121120 in words is "two hundred thirty trillion, two hundred thirty-three billion, three hundred three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 110689088039 221378176078 442756352156 553445440195 885512704312 1106890880390 1438958144507 1771025408624 2213781760780 2877916289014 3542050817248 4427563521560 5755832578028 7194790722535 8855127043120 11511665156056 14389581445070 17710254086240 23023330312112 28779162890140 46046660624224 57558325780280 115116651560560 230233303121120