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10223553223 = 134722137561
BaseRepresentation
bin10011000010101111…
…10000101011000111
3222101111102022111101
421201113300223013
5131414212200343
64410250120531
7511230524422
oct114127605307
928344368441
1010223553223
114376a24944
121b93a20147
13c6c1002a0
146cdb169b9
153ec81ae4d
hex2615f0ac7

10223553223 has 16 divisors (see below), whose sum is σ = 11250804096. Its totient is φ = 9230941440.

The previous prime is 10223553203. The next prime is 10223553227. The reversal of 10223553223 is 32235532201.

It is a happy number.

10223553223 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 10223553223 - 25 = 10223553191 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10223553191 and 10223553200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223553227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348363 + ... + 1355923.

It is an arithmetic number, because the mean of its divisors is an integer number (703175256).

Almost surely, 210223553223 is an apocalyptic number.

10223553223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10223553223 is a deficient number, since it is larger than the sum of its proper divisors (1027250873).

10223553223 is a wasteful number, since it uses less digits than its factorization.

10223553223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834.

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 10223553223 in words is "ten billion, two hundred twenty-three million, five hundred fifty-three thousand, two hundred twenty-three".

Divisors: 1 13 47 611 2213 7561 28769 98293 104011 355367 1352143 4619771 16732493 217522409 786427171 10223553223