Search a number
-
+
231120033330320 = 2457339575348173
BaseRepresentation
bin110100100011001111010011…
…011111001011010010010000
31010022022212012111122012122022
4310203033103133023102100
5220243132312013032240
62135315024430031012
766452604611154311
oct6443172337132220
91108285174565568
10231120033330320
1167707501589a32
1221b0873b648468
139bc66aaa50ab4
1441103aad58608
151babe6846a9b5
hexd233d37cb490

231120033330320 has 40 divisors (see below), whose sum is σ = 544715092266936. Its totient is φ = 91181602188288.

The previous prime is 231120033330299. The next prime is 231120033330331. The reversal of 231120033330320 is 23033330021132.

It is a happy number.

231120033330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8253830210704 + 222866203119616 = 2872948^2 + 14928704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 231120033330320.

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, 19787668247 + ... + 19787679926.

Almost surely, 2231120033330320 is an apocalyptic number.

231120033330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231120033330320 is an abundant number, since it is smaller than the sum of its proper divisors (313595058936616).

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

231120033330320 is a wasteful number, since it uses less digits than its factorization.

231120033330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39575348259 (or 39575348253 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 231120033330320 its reverse (23033330021132), we get a palindrome (254153363351452).

The spelling of 231120033330320 in words is "two hundred thirty-one trillion, one hundred twenty billion, thirty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 39575348173 79150696346 158301392692 197876740865 316602785384 395753481730 633205570768 791506963460 1583013926920 2889000416629 3166027853840 5778000833258 11556001666516 14445002083145 23112003333032 28890004166290 46224006666064 57780008332580 115560016665160 231120033330320