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10022003131 = 71975353407
BaseRepresentation
bin10010101010101101…
…11010000110111011
3221212110011111202011
421111112322012323
5131011113100011
64334250150351
7503232423010
oct112526720673
927773144664
1010022003131
114283183318
121b384223b7
13c3942258a
146b104d707
153d9ca7621
hex2555ba1bb

10022003131 has 8 divisors (see below), whose sum is σ = 12056545280. Its totient is φ = 8138167848.

The previous prime is 10022003129. The next prime is 10022003213. The reversal of 10022003131 is 13130022001.

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

It is a cyclic number.

It is not a de Polignac number, because 10022003131 - 21 = 10022003129 is a prime.

It is a super-2 number, since 2×100220031312 (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 (10022003731) 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 7 ways as a sum of consecutive naturals, for example, 37676571 + ... + 37676836.

It is an arithmetic number, because the mean of its divisors is an integer number (1507068160).

Almost surely, 210022003131 is an apocalyptic number.

10022003131 is a deficient number, since it is larger than the sum of its proper divisors (2034542149).

10022003131 is an equidigital number, since it uses as much as digits as its factorization.

10022003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75353433.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10022003131 its reverse (13130022001), we get a palindrome (23152025132).

The spelling of 10022003131 in words is "ten billion, twenty-two million, three thousand, one hundred thirty-one".

Divisors: 1 7 19 133 75353407 527473849 1431714733 10022003131