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10222110431 = 135983211761
BaseRepresentation
bin10011000010100100…
…10000011011011111
3222101101201000100122
421201102100123133
5131413330013211
64410155145155
7511212335141
oct114122203337
928341630318
1010222110431
114376129955
121b934451bb
13c6ba16670
146cd85cc91
153ec6336db
hex2614906df

10222110431 has 32 divisors (see below), whose sum is σ = 11398544640. Its totient is φ = 9108691200.

The previous prime is 10222110403. The next prime is 10222110461. The reversal of 10222110431 is 13401122201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222110431 is a prime.

It is a super-2 number, since 2×102221104312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222110461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13432091 + ... + 13432851.

It is an arithmetic number, because the mean of its divisors is an integer number (356204520).

Almost surely, 210222110431 is an apocalyptic number.

10222110431 is a deficient number, since it is larger than the sum of its proper divisors (1176434209).

10222110431 is a wasteful number, since it uses less digits than its factorization.

10222110431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10222110431 its reverse (13401122201), we get a palindrome (23623232632).

The spelling of 10222110431 in words is "ten billion, two hundred twenty-two million, one hundred ten thousand, four hundred thirty-one".

Divisors: 1 13 59 83 211 761 767 1079 2743 4897 9893 12449 17513 44899 63163 63661 160571 161837 227669 583687 821119 1033267 2087423 3726617 9473689 13327393 13432471 48446021 123157957 173256109 786316187 10222110431