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10223016401 = 132423932443
BaseRepresentation
bin10011000010101011…
…01101100111010001
3222101110102001010002
421201111231213101
5131414043011101
64410230415345
7511223130353
oct114125554721
928343361102
1010223016401
114376698594
121b93801555
13c6bc72b40
146cda170d3
153ec761d6b
hex26156d9d1

10223016401 has 8 divisors (see below), whose sum is σ = 11010195840. Its totient is φ = 9435950352.

The previous prime is 10223016373. The next prime is 10223016457. The reversal of 10223016401 is 10461032201.

10223016401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223016401 is a prime.

It is a super-2 number, since 2×102230164012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223015401) 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 7 ways as a sum of consecutive naturals, for example, 298886 + ... + 331328.

It is an arithmetic number, because the mean of its divisors is an integer number (1376274480).

Almost surely, 210223016401 is an apocalyptic number.

It is an amenable number.

10223016401 is a deficient number, since it is larger than the sum of its proper divisors (787179439).

10223016401 is a wasteful number, since it uses less digits than its factorization.

10223016401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10223016401 its reverse (10461032201), we get a palindrome (20684048602).

The spelling of 10223016401 in words is "ten billion, two hundred twenty-three million, sixteen thousand, four hundred one".

Divisors: 1 13 24239 32443 315107 421759 786385877 10223016401