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202112122312031 = 7912728171689447
BaseRepresentation
bin101101111101000111100101…
…010000010101010101011111
3222111121201201022101111200212
4231331013211100111111133
5202442401111302441111
61553505005512443035
760400055542615631
oct5575074520252537
9874551638344625
10202112122312031
11594432a6aa1728
121a8028249a947b
1388a1125920889
1437ca3c94b0a51
15185760063798b
hexb7d1e541555f

202112122312031 has 16 divisors (see below), whose sum is σ = 207016185200640. Its totient is φ = 197277885080640.

The previous prime is 202112122312027. The next prime is 202112122312033. The reversal of 202112122312031 is 130213221211202.

It is a cyclic number.

It is not a de Polignac number, because 202112122312031 - 22 = 202112122312027 is a prime.

It is a super-2 number, since 2×2021121223120312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202112122311988 and 202112122312006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112122312033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33025451 + ... + 38663996.

It is an arithmetic number, because the mean of its divisors is an integer number (12938511575040).

Almost surely, 2202112122312031 is an apocalyptic number.

202112122312031 is a deficient number, since it is larger than the sum of its proper divisors (4904062888609).

202112122312031 is a wasteful number, since it uses less digits than its factorization.

202112122312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71689934.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 202112122312031 its reverse (130213221211202), we get a palindrome (332325343523233).

The spelling of 202112122312031 in words is "two hundred two trillion, one hundred twelve billion, one hundred twenty-two million, three hundred twelve thousand, thirty-one".

Divisors: 1 79 127 281 10033 22199 35687 2819273 71689447 5663466313 9104559769 20144734607 719260221751 1591434033953 2558381295089 202112122312031