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1023323101031 = 72112172596239
BaseRepresentation
bin11101110010000101100…
…11110101011101100111
310121211101010221201100202
432321002303311131213
5113231231203213111
62102035205301115
7133634620561100
oct16710263653547
93554333851322
101023323101031
11364a97237a00
121463b0a0479b
137566428353a
1437759bdd3a7
151b9440e9b3b
hexee42cf5767

1023323101031 has 18 divisors (see below), whose sum is σ = 1308452095440. Its totient is φ = 797394619560.

The previous prime is 1023323100977. The next prime is 1023323101049. The reversal of 1023323101031 is 1301013233201.

It is not a de Polignac number, because 1023323101031 - 238 = 748445194087 is a prime.

It is a super-2 number, since 2×10233231010312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023323100994 and 1023323101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023323101831) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86292191 + ... + 86304048.

It is an arithmetic number, because the mean of its divisors is an integer number (72691783080).

Almost surely, 21023323101031 is an apocalyptic number.

1023323101031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023323101031 is a deficient number, since it is larger than the sum of its proper divisors (285128994409).

1023323101031 is a wasteful number, since it uses less digits than its factorization.

1023323101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172596275 (or 172596257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1023323101031 its reverse (1301013233201), we get a palindrome (2324336334232).

The spelling of 1023323101031 in words is "one trillion, twenty-three billion, three hundred twenty-three million, one hundred one thousand, thirty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 172596239 1208173673 1898558629 8457215711 13289910403 20884144919 93029372821 146189014433 1023323101031