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101100111023 = 2319123013911
BaseRepresentation
bin101111000101000001…
…0010100010010101111
3100122221211200202212102
41132022002110102233
53124023112023043
6114240022125315
710206232523162
oct1361202242257
9318854622772
10101100111023
113997041686a
121771628083b
1396c26cbb02
144c711cbad9
15296aae36b8
hex178a0944af

101100111023 has 8 divisors (see below), whose sum is σ = 106048106496. Its totient is φ = 96198143800.

The previous prime is 101100111017. The next prime is 101100111031. The reversal of 101100111023 is 320111001101.

It is a happy number.

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 101100111023 - 26 = 101100110959 is a prime.

It is a super-2 number, since 2×1011001110232 (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 = 101100110995 and 101100111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111043) 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, 11502563 + ... + 11511348.

It is an arithmetic number, because the mean of its divisors is an integer number (13256013312).

Almost surely, 2101100111023 is an apocalyptic number.

101100111023 is a deficient number, since it is larger than the sum of its proper divisors (4947995473).

101100111023 is a wasteful number, since it uses less digits than its factorization.

101100111023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23014125.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101100111023 its reverse (320111001101), we get a palindrome (421211112124).

The spelling of 101100111023 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, twenty-three".

Divisors: 1 23 191 4393 23013911 529319953 4395657001 101100111023