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107431438961 = 7111395213493
BaseRepresentation
bin110010000001101101…
…0011010101001110001
3101021022002012120000202
41210003122122221301
53230004422021321
6121204152324545
710522152110210
oct1440332325161
9337262176022
10107431438961
114161a2791a0
12189a26a3755
13a191313bc2
1452b2007077
152bdb87770b
hex190369aa71

107431438961 has 8 divisors (see below), whose sum is σ = 133940495424. Its totient is φ = 83712809520.

The previous prime is 107431438957. The next prime is 107431438963. The reversal of 107431438961 is 169834134701.

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 107431438961 - 22 = 107431438957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107431438963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697606670 + ... + 697606823.

It is an arithmetic number, because the mean of its divisors is an integer number (16742561928).

Almost surely, 2107431438961 is an apocalyptic number.

107431438961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107431438961 is a deficient number, since it is larger than the sum of its proper divisors (26509056463).

107431438961 is a wasteful number, since it uses less digits than its factorization.

107431438961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395213511.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 107431438961 in words is "one hundred seven billion, four hundred thirty-one million, four hundred thirty-eight thousand, nine hundred sixty-one".

Divisors: 1 7 11 77 1395213493 9766494451 15347348423 107431438961