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101040401431 = 679715547069
BaseRepresentation
bin101111000011001111…
…0100010110000010111
3100122210200100012201001
41132012132202300113
53123412320321211
6114230050244131
710204606145554
oct1360636426027
9318720305631
10101040401431
113993a7440a2
12176ba286647
1396b32240a8
144c672c7a2b
15296574bac1
hex17867a2c17

101040401431 has 8 divisors (see below), whose sum is σ = 103605674480. Its totient is φ = 98506222848.

The previous prime is 101040401393. The next prime is 101040401447. The reversal of 101040401431 is 134104040101.

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 101040401431 - 29 = 101040400919 is a prime.

It is a super-2 number, since 2×1010404014312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101040401399 and 101040401408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040401461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7767036 + ... + 7780033.

It is an arithmetic number, because the mean of its divisors is an integer number (12950709310).

Almost surely, 2101040401431 is an apocalyptic number.

101040401431 is a deficient number, since it is larger than the sum of its proper divisors (2565273049).

101040401431 is an equidigital number, since it uses as much as digits as its factorization.

101040401431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15547233.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101040401431 its reverse (134104040101), we get a palindrome (235144441532).

The spelling of 101040401431 in words is "one hundred one billion, forty million, four hundred one thousand, four hundred thirty-one".

Divisors: 1 67 97 6499 15547069 1041653623 1508065693 101040401431