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101011331023 = 2331254955579
BaseRepresentation
bin101111000010010111…
…1101001011111001111
3100122201122122021121021
41132010233221133033
53123332400043043
6114223131215011
710204104101311
oct1360457513717
9318648567537
10101011331023
1139925299069
12176b05a7467
1396aa1b6275
144c634bb7b1
152962e083ed
hex1784be97cf

101011331023 has 16 divisors (see below), whose sum is σ = 108847872000. Its totient is φ = 93464411040.

The previous prime is 101011331021. The next prime is 101011331033. The reversal of 101011331023 is 320133110101.

It is a cyclic number.

It is not a de Polignac number, because 101011331023 - 21 = 101011331021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011330988 and 101011331006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011331021) 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 15 ways as a sum of consecutive naturals, for example, 1789648 + ... + 1845226.

It is an arithmetic number, because the mean of its divisors is an integer number (6802992000).

Almost surely, 2101011331023 is an apocalyptic number.

101011331023 is a deficient number, since it is larger than the sum of its proper divisors (7836540977).

101011331023 is a wasteful number, since it uses less digits than its factorization.

101011331023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58182.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101011331023 its reverse (320133110101), we get a palindrome (421144441124).

The spelling of 101011331023 in words is "one hundred one billion, eleven million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 23 31 713 2549 55579 58627 79019 1278317 1722949 1817437 39627827 141670871 3258430033 4391797001 101011331023