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223120322113 = 13331234722093
BaseRepresentation
bin1100111111001100000…
…0011110111001000001
3210022220122020201222211
43033303000132321001
512123422300301423
6250300002502121
722056062305633
oct3176300367101
9708818221884
10223120322113
1186696672427
12372aa664941
131806a2b8a50
14ab28970a53
155c0d10010d
hex33f301ee41

223120322113 has 16 divisors (see below), whose sum is σ = 241122957376. Its totient is φ = 205238214720.

The previous prime is 223120322101. The next prime is 223120322153. The reversal of 223120322113 is 311223021322.

223120322113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 223120322113 - 221 = 223118224961 is a prime.

It is a super-3 number, since 3×2231203221133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223120322153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10088095 + ... + 10110187.

It is an arithmetic number, because the mean of its divisors is an integer number (15070184836).

Almost surely, 2223120322113 is an apocalyptic number.

It is an amenable number.

223120322113 is a deficient number, since it is larger than the sum of its proper divisors (18002635263).

223120322113 is a wasteful number, since it uses less digits than its factorization.

223120322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24784.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223120322113 its reverse (311223021322), we get a palindrome (534343343435).

The spelling of 223120322113 in words is "two hundred twenty-three billion, one hundred twenty million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 13 331 2347 4303 22093 30511 287209 776857 7312783 10099141 51852271 95066179 674079523 17163101701 223120322113