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132057107281 = 1144832677937
BaseRepresentation
bin111101011111100110…
…1111000101101010001
3110121212021202010022101
41322333031320231101
54130423104413111
6140355522040401
712353332614451
oct1727715705521
9417767663271
10132057107281
11510068812a0
12217157a9101
13c5b7125288
14656a78bd61
15367d756bc1
hex1ebf378b51

132057107281 has 8 divisors (see below), whose sum is σ = 144094487904. Its totient is φ = 120025091520.

The previous prime is 132057107233. The next prime is 132057107293. The reversal of 132057107281 is 182701750231.

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 132057107281 - 213 = 132057099089 is a prime.

It is a super-2 number, since 2×1320571072812 (a number of 23 digits) contains 22 as substring.

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 132057107281.

It is not an unprimeable number, because it can be changed into a prime (132057107201) 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, 1289656 + ... + 1388281.

It is an arithmetic number, because the mean of its divisors is an integer number (18011810988).

Almost surely, 2132057107281 is an apocalyptic number.

132057107281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132057107281 is a deficient number, since it is larger than the sum of its proper divisors (12037380623).

132057107281 is a wasteful number, since it uses less digits than its factorization.

132057107281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682431.

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 132057107281 in words is "one hundred thirty-two billion, fifty-seven million, one hundred seven thousand, two hundred eighty-one".

Divisors: 1 11 4483 49313 2677937 29457307 12005191571 132057107281