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101042400023 = 1272212335963
BaseRepresentation
bin101111000011010011…
…0001010101100010111
3100122210211002202020222
41132012212022230113
53123413323300043
6114230201144555
710204632141425
oct1360646125427
9318724082228
10101042400023
1139940889724
12176baa8b15b
1396b37739a6
144c67688115
1529659e3d68
hex178698ab17

101042400023 has 8 divisors (see below), whose sum is σ = 101845444608. Its totient is φ = 100239471864.

The previous prime is 101042400001. The next prime is 101042400133. The reversal of 101042400023 is 320004240101.

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 101042400023 - 220 = 101041351447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101042399974 and 101042400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042402023) 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, 2791640 + ... + 2827602.

It is an arithmetic number, because the mean of its divisors is an integer number (12730680576).

Almost surely, 2101042400023 is an apocalyptic number.

101042400023 is a deficient number, since it is larger than the sum of its proper divisors (803044585).

101042400023 is a wasteful number, since it uses less digits than its factorization.

101042400023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58213.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 101042400023 its reverse (320004240101), we get a palindrome (421046640124).

The spelling of 101042400023 in words is "one hundred one billion, forty-two million, four hundred thousand, twenty-three".

Divisors: 1 127 22123 35963 2809621 4567301 795609449 101042400023