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13432166123431 = 113139390516491
BaseRepresentation
bin1100001101110110101101…
…1111011000011110100111
31202120002202202022021101011
43003131223133120132213
53230033034011422211
644322352452243051
72554304412135046
oct303355337303647
952502682267334
1013432166123431
114309605667780
12160b2b1310487
1376585638b893
143461981b255d
15184604e33921
hexc376b7d87a7

13432166123431 has 8 divisors (see below), whose sum is σ = 15125958332928. Its totient is φ = 11817154947000.

The previous prime is 13432166123419. The next prime is 13432166123443.

13432166123431 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13432166123419) and next prime (13432166123443).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13432166123431 - 225 = 13432132568999 is a prime.

It is a super-2 number, since 2×134321661234312 (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 (13432166123461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19695257905 + ... + 19695258586.

It is an arithmetic number, because the mean of its divisors is an integer number (1890744791616).

Almost surely, 213432166123431 is an apocalyptic number.

13432166123431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13432166123431 is a deficient number, since it is larger than the sum of its proper divisors (1693792209497).

13432166123431 is a wasteful number, since it uses less digits than its factorization.

13432166123431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39390516533.

The product of its digits is 186624, while the sum is 40.

It can be divided in two parts, 1343216 and 6123431, that added together give a palindrome (7466647).

The spelling of 13432166123431 in words is "thirteen trillion, four hundred thirty-two billion, one hundred sixty-six million, one hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 11 31 341 39390516491 433295681401 1221106011221 13432166123431