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12331211101231 = 112363977619191
BaseRepresentation
bin1011001101110001010101…
…1101010001010000101111
31121122212000022012100110211
42303130111131101100233
53104013310020214411
642120514041243251
72411620622636161
oct263342535212057
947585008170424
1012331211101231
113a24701213440
121471a55793527
136b5a9c793919
14308b95d48931
15165b6a6d8221
hexb371575142f

12331211101231 has 16 divisors (see below), whose sum is σ = 14039306039808. Its totient is φ = 10721114632800.

The previous prime is 12331211101219. The next prime is 12331211101243. The reversal of 12331211101231 is 13210111213321.

It is an interprime number because it is at equal distance from previous prime (12331211101219) and next prime (12331211101243).

It is a de Polignac number, because none of the positive numbers 2k-12331211101231 is a prime.

It is a super-2 number, since 2×123312111012312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331211101291) 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, 2191155 + ... + 5428036.

It is an arithmetic number, because the mean of its divisors is an integer number (877456627488).

Almost surely, 212331211101231 is an apocalyptic number.

12331211101231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12331211101231 is a deficient number, since it is larger than the sum of its proper divisors (1708094938577).

12331211101231 is a wasteful number, since it uses less digits than its factorization.

12331211101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625622.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 12331211101231 its reverse (13210111213321), we get a palindrome (25541322314552).

The spelling of 12331211101231 in words is "twelve trillion, three hundred thirty-one billion, two hundred eleven million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 11 23 253 6397 70367 147131 1618441 7619191 83811101 175241393 1927655323 48739964827 536139613097 1121019191021 12331211101231