Search a number
-
+
101322112023 = 32113732743849
BaseRepresentation
bin101111001011101000…
…1001011110000010111
3100200112022102120222200
41132113101023300113
53130001430041043
6114314032255543
710214566512336
oct1362721136027
9320468376880
10101322112023
1139a74766470
12177786a15b3
1397296ba252
144c92899d1d
1529803467d3
hex179744bc17

101322112023 has 24 divisors (see below), whose sum is σ = 160087184400. Its totient is φ = 61242687360.

The previous prime is 101322112019. The next prime is 101322112051. The reversal of 101322112023 is 320211223101.

It is not a de Polignac number, because 101322112023 - 22 = 101322112019 is a prime.

It is a super-2 number, since 2×1013221120232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322111987 and 101322112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322116023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334998 + ... + 1408851.

It is an arithmetic number, because the mean of its divisors is an integer number (6670299350).

Almost surely, 2101322112023 is an apocalyptic number.

101322112023 is a deficient number, since it is larger than the sum of its proper divisors (58765072377).

101322112023 is a wasteful number, since it uses less digits than its factorization.

101322112023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744239 (or 2744236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101322112023 its reverse (320211223101), we get a palindrome (421533335124).

The spelling of 101322112023 in words is "one hundred one billion, three hundred twenty-two million, one hundred twelve thousand, twenty-three".

Divisors: 1 3 9 11 33 99 373 1119 3357 4103 12309 36927 2743849 8231547 24694641 30182339 90547017 271641051 1023455677 3070367031 9211101093 11258012447 33774037341 101322112023