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10331221312231 = 337787187920731
BaseRepresentation
bin1001011001010110110011…
…0001101100001011100111
31100120122200120120021100221
42112111230301230023213
52323231320123442411
633550033023145211
72114256203136601
oct226255461541347
940518616507327
1010331221312231
1133234a01072a6
1211aa315145207
1359c2cb396181
1427a068996171
1512db13576071
hex9656cc6c2e7

10331221312231 has 16 divisors (see below), whose sum is σ = 10381066359040. Its totient is φ = 10281505530240.

The previous prime is 10331221312211. The next prime is 10331221312249. The reversal of 10331221312231 is 13221312213301.

It is a cyclic number.

It is not a de Polignac number, because 10331221312231 - 27 = 10331221312103 is a prime.

It is a super-2 number, since 2×103312213122312 (a number of 27 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 = 10331221312196 and 10331221312205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331221312211) 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 15 ways as a sum of consecutive naturals, for example, 498336136 + ... + 498356866.

It is an arithmetic number, because the mean of its divisors is an integer number (648816647440).

Almost surely, 210331221312231 is an apocalyptic number.

10331221312231 is a deficient number, since it is larger than the sum of its proper divisors (49845046809).

10331221312231 is a wasteful number, since it uses less digits than its factorization.

10331221312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23734.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10331221312231 its reverse (13221312213301), we get a palindrome (23552533525532).

The spelling of 10331221312231 in words is "ten trillion, three hundred thirty-one billion, two hundred twenty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 337 787 1879 20731 265219 633223 1478773 6986347 16315297 38953549 498346501 5498255089 13127346013 30656443063 10331221312231