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101404324142431 = 3110132387200301
BaseRepresentation
bin10111000011101000001000…
…101110000001110101011111
3111022001011021200221112000221
4113003220020232001311133
5101242402023440024211
6555400300422502211
730234135453326452
oct2703501056016537
9438034250845027
10101404324142431
112a3463724116a2
12b458a06b94967
13447750487307b
141b07dd182b499
15bacb5c381c71
hex5c3a08b81d5f

101404324142431 has 8 divisors (see below), whose sum is σ = 105711821785728. Its totient is φ = 97161600900000.

The previous prime is 101404324142417. The next prime is 101404324142453. The reversal of 101404324142431 is 134241423404101.

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 101404324142431 - 227 = 101404189924703 is a prime.

It is a super-2 number, since 2×1014043241424312 (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 (101404324142461) 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, 16193597020 + ... + 16193603281.

It is an arithmetic number, because the mean of its divisors is an integer number (13213977723216).

Almost surely, 2101404324142431 is an apocalyptic number.

101404324142431 is a deficient number, since it is larger than the sum of its proper divisors (4307497643297).

101404324142431 is a wasteful number, since it uses less digits than its factorization.

101404324142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32387200433.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 101404324142431 its reverse (134241423404101), we get a palindrome (235645747546532).

The spelling of 101404324142431 in words is "one hundred one trillion, four hundred four billion, three hundred twenty-four million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 31 101 3131 32387200301 1004003209331 3271107230401 101404324142431