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12343133132213 = 1379571112318743
BaseRepresentation
bin1011001110011101110000…
…0100001101010110110101
31121200222210011121021102212
42303213130010031112311
53104212214040212323
642130205043543205
72412522226346042
oct263473404152665
947628704537385
1012343133132213
113a29769960804
12147422238ab05
136b6c4c729620
143095a746c1c9
151661171a6b78
hexb39dc10d5b5

12343133132213 has 32 divisors (see below), whose sum is σ = 13497167523840. Its totient is φ = 11219138124480.

The previous prime is 12343133132203. The next prime is 12343133132329. The reversal of 12343133132213 is 31223133134321.

It is a happy number.

It is not a de Polignac number, because 12343133132213 - 220 = 12343132083637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12343133132213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343133132203) 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, 658536920 + ... + 658555662.

It is an arithmetic number, because the mean of its divisors is an integer number (421786485120).

Almost surely, 212343133132213 is an apocalyptic number.

12343133132213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12343133132213 is a deficient number, since it is larger than the sum of its proper divisors (1154034391627).

12343133132213 is a wasteful number, since it uses less digits than its factorization.

12343133132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20529.

The product of its digits is 23328, while the sum is 32.

Adding to 12343133132213 its reverse (31223133134321), we get a palindrome (43566266266534).

The spelling of 12343133132213 in words is "twelve trillion, three hundred forty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 13 79 571 1027 1123 7423 14599 18743 45109 88717 243659 586417 641233 1153321 1480697 8336029 10702253 19249061 21048389 50657407 139129289 273629057 658546291 845477987 1662822731 10991213831 12018630119 21616695503 156242191547 949471779401 12343133132213