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223103144002032 = 24327221332484129
BaseRepresentation
bin110010101110100100111111…
…101001011000000111110000
31002020221110012201000000220200
4302232210333221120013300
5213220310214331031112
62110300100333035200
764664445614213640
oct6256447751300760
91066843181000820
10223103144002032
11650a656a558448
1221032a73625b00
1397646c8075578
143d1436d5a8520
151abd6588decdc
hexcae93fa581f0

223103144002032 has 60 divisors (see below), whose sum is σ = 713575928835120. Its totient is φ = 63743755428864.

The previous prime is 223103144002019. The next prime is 223103144002099. The reversal of 223103144002032 is 230200441301322.

223103144002032 is a `hidden beast` number, since 2 + 2 + 3 + 10 + 3 + 1 + 440 + 0 + 203 + 2 = 666.

It is a super-3 number, since 3×2231031440020323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223103144001987 and 223103144002005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110666241057 + ... + 110666243072.

It is an arithmetic number, because the mean of its divisors is an integer number (11892932147252).

Almost surely, 2223103144002032 is an apocalyptic number.

It is an amenable number.

223103144002032 is an abundant number, since it is smaller than the sum of its proper divisors (490472784833088).

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

223103144002032 is a wasteful number, since it uses less digits than its factorization.

223103144002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221332484150 (or 221332484141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223103144002032 its reverse (230200441301322), we get a palindrome (453303585303354).

The spelling of 223103144002032 in words is "two hundred twenty-three trillion, one hundred three billion, one hundred forty-four million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 221332484129 442664968258 663997452387 885329936516 1327994904774 1549327388903 1770659873032 1991992357161 2655989809548 3098654777806 3541319746064 3983984714322 4647982166709 5311979619096 6197309555612 7967969428644 9295964333418 10623959238192 12394619111224 13943946500127 15935938857288 18591928666836 24789238222448 27887893000254 31871877714576 37183857333672 55775786000508 74367714667344 111551572001016 223103144002032