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132412141214231 = 2918701244154639
BaseRepresentation
bin11110000110110110011010…
…101001000001101000010111
3122100211110212210021002120212
4132012312122221001220113
5114323420031122323411
61145341144203320035
736614314203552554
oct3606663251015027
9570743783232525
10132412141214231
113921074581335a
1212a2643a22001b
1358b6546933308
14249aad34aba2b
151049524cd668b
hex786d9aa41a17

132412141214231 has 8 divisors (see below), whose sum is σ = 136985402318400. Its totient is φ = 127839368456800.

The previous prime is 132412141214209. The next prime is 132412141214257.

132412141214231 is nontrivially palindromic in base 10.

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 132412141214231 - 218 = 132412140952087 is a prime.

It is a super-2 number, since 2×1324121412142312 (a number of 29 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 (132412141214831) 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 7 ways as a sum of consecutive naturals, for example, 121534991 + ... + 122619648.

It is an arithmetic number, because the mean of its divisors is an integer number (17123175289800).

Almost surely, 2132412141214231 is an apocalyptic number.

132412141214231 is a deficient number, since it is larger than the sum of its proper divisors (4573261104169).

132412141214231 is a wasteful number, since it uses less digits than its factorization.

132412141214231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244173369.

The product of its digits is 9216, while the sum is 32.

The spelling of 132412141214231 in words is "one hundred thirty-two trillion, four hundred twelve billion, one hundred forty-one million, two hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 29 18701 542329 244154639 7080484531 4565935903939 132412141214231