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230200103311020 = 22335426296487613
BaseRepresentation
bin110100010101110110100011…
…011000101001011010101100
31010012001220201000000020122000
4310111312203120221122230
5220133044302421423040
62133332244553052300
766326260105053243
oct6425664330513254
91105056630006560
10230200103311020
1167392352018707
122199a3a49b7090
139b5aa1324cb7b
1440bba5caa595a
151b930763e8130
hexd15da36296ac

230200103311020 has 48 divisors (see below), whose sum is σ = 716178099191520. Its totient is φ = 61386694216128.

The previous prime is 230200103310997. The next prime is 230200103311021. The reversal of 230200103311020 is 20113301002032.

230200103311020 is a `hidden beast` number, since 2 + 30 + 200 + 1 + 0 + 331 + 102 + 0 = 666.

230200103311020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230200103310984 and 230200103311002.

It is not an unprimeable number, because it can be changed into a prime (230200103311021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213148243267 + ... + 213148244346.

It is an arithmetic number, because the mean of its divisors is an integer number (14920377066490).

Almost surely, 2230200103311020 is an apocalyptic number.

230200103311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230200103311020 is an abundant number, since it is smaller than the sum of its proper divisors (485977995880500).

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

230200103311020 is a wasteful number, since it uses less digits than its factorization.

230200103311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426296487631 (or 426296487623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230200103311020 its reverse (20113301002032), we get a palindrome (250313404313052).

The spelling of 230200103311020 in words is "two hundred thirty trillion, two hundred billion, one hundred three million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 426296487613 852592975226 1278889462839 1705185950452 2131482438065 2557778925678 3836668388517 4262964876130 5115557851356 6394447314195 7673336777034 8525929752260 11510005165551 12788894628390 15346673554068 19183341942585 23020010331102 25577789256780 38366683885170 46040020662204 57550025827755 76733367770340 115100051655510 230200103311020