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10212124121031 = 375973112907273
BaseRepresentation
bin1001010010011011001000…
…0001111101011111000111
31100011021021111012002201110
42110212302001331133013
52314303412233333111
633415215101100103
72102541645542040
oct224466201753707
940137244162643
1010212124121031
113287a34922858
12118b217857633
13590ccb249ac1
142743ab4db8c7
1512a9929a45a6
hex949b207d7c7

10212124121031 has 32 divisors (see below), whose sum is σ = 16041865489920. Its totient is φ = 5658009214464.

The previous prime is 10212124121027. The next prime is 10212124121099. The reversal of 10212124121031 is 13012142121201.

It is not a de Polignac number, because 10212124121031 - 22 = 10212124121027 is a prime.

It is a super-2 number, since 2×102121241210312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10212124120989 and 10212124121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212124126031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56363190 + ... + 56544083.

It is an arithmetic number, because the mean of its divisors is an integer number (501308296560).

Almost surely, 210212124121031 is an apocalyptic number.

10212124121031 is a deficient number, since it is larger than the sum of its proper divisors (5829741368889).

10212124121031 is a wasteful number, since it uses less digits than its factorization.

10212124121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112907415.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10212124121031 its reverse (13012142121201), we get a palindrome (23224266242232).

The spelling of 10212124121031 in words is "ten trillion, two hundred twelve billion, one hundred twenty-four million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 21 59 73 177 219 413 511 1239 1533 4307 12921 30149 90447 112907273 338721819 790350911 2371052733 6661529107 8242230929 19984587321 24726692787 46630703749 57695616503 139892111247 173086849509 486291624811 1458874874433 3404041373677 10212124121031