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10012222431 = 33457811429
BaseRepresentation
bin10010101001100011…
…00110001111011111
3221211202202121011000
421110301212033133
5131001112104211
64333300401343
7503053325601
oct112461461737
927752677130
1010012222431
1142787029a2
121b350a6253
13c373a9793
146ada25171
153d8ec4656
hex254c663df

10012222431 has 16 divisors (see below), whose sum is σ = 14865397600. Its totient is φ = 6660201024.

The previous prime is 10012222411. The next prime is 10012222453. The reversal of 10012222431 is 13422221001.

It is a happy number.

10012222431 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 222 + 431 = 666.

It is not a de Polignac number, because 10012222431 - 25 = 10012222399 is a prime.

It is a super-2 number, since 2×100122224312 (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 (10012222411) 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, 393376 + ... + 418053.

It is an arithmetic number, because the mean of its divisors is an integer number (929087350).

Almost surely, 210012222431 is an apocalyptic number.

10012222431 is a deficient number, since it is larger than the sum of its proper divisors (4853175169).

10012222431 is an equidigital number, since it uses as much as digits as its factorization.

10012222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811895 (or 811889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012222431 its reverse (13422221001), we get a palindrome (23434443432).

The spelling of 10012222431 in words is "ten billion, twelve million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 457 1371 4113 12339 811429 2434287 7302861 21908583 370823053 1112469159 3337407477 10012222431