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12331023101 = 413378811013
BaseRepresentation
bin10110111101111110…
…00111101011111101
31011211100222212200022
423132333013223331
5200223220214401
65355332341525
7614400652445
oct133677075375
934740885608
1012331023101
1152585a5191
1224817748a5
131216905197
1484d989125
154c285b71b
hex2defc7afd

12331023101 has 16 divisors (see below), whose sum is σ = 12696164208. Its totient is φ = 11969126400.

The previous prime is 12331023091. The next prime is 12331023119. The reversal of 12331023101 is 10132013321.

It can be written as a sum of positive squares in 8 ways, for example, as 8145062500 + 4185960601 = 90250^2 + 64699^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331023101 - 214 = 12331006717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12331023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331023191) 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, 12172271 + ... + 12173283.

It is an arithmetic number, because the mean of its divisors is an integer number (793510263).

Almost surely, 212331023101 is an apocalyptic number.

It is an amenable number.

12331023101 is a deficient number, since it is larger than the sum of its proper divisors (365141107).

12331023101 is a wasteful number, since it uses less digits than its factorization.

12331023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12331023101 its reverse (10132013321), we get a palindrome (22463036422).

The spelling of 12331023101 in words is "twelve billion, three hundred thirty-one million, twenty-three thousand, one hundred one".

Divisors: 1 41 337 881 1013 13817 36121 41533 296897 341381 892453 12172777 13996621 36590573 300756661 12331023101