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101131422431 = 1361127530167
BaseRepresentation
bin101111000101111100…
…1110000101011011111
3100200001000121120001012
41132023321300223133
53124104121004211
6114243101205435
710210062623114
oct1361371605337
9320030546035
10101131422431
1139987062566
121772486087b
1396c9042980
144c7541c90b
15296d72ad8b
hex178be70adf

101131422431 has 8 divisors (see below), whose sum is σ = 110696185824. Its totient is φ = 91821719520.

The previous prime is 101131422407. The next prime is 101131422439. The reversal of 101131422431 is 134224131101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101131422431 is a prime.

It is a super-2 number, since 2×1011314224312 (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 = 101131422397 and 101131422406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131422439) 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, 63764291 + ... + 63765876.

It is an arithmetic number, because the mean of its divisors is an integer number (13837023228).

Almost surely, 2101131422431 is an apocalyptic number.

101131422431 is a deficient number, since it is larger than the sum of its proper divisors (9564763393).

101131422431 is a wasteful number, since it uses less digits than its factorization.

101131422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127530241.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101131422431 its reverse (134224131101), we get a palindrome (235355553532).

The spelling of 101131422431 in words is "one hundred one billion, one hundred thirty-one million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 13 61 793 127530167 1657892171 7779340187 101131422431