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110083940521 = 1722926732
BaseRepresentation
bin110011010000110000…
…0111010000010101001
3101112010221100121010021
41212201200322002221
53300422442044041
6122323304520441
710644661025002
oct1464140720251
9345127317107
10110083940521
1142760572945
1219402a80121
13a4c4a09a59
1454843d41a9
152ce4678cd1
hex19a183a0a9

110083940521 has 27 divisors (see below), whose sum is σ = 121292081391. Its totient is φ = 99887069184.

The previous prime is 110083940513. The next prime is 110083940539. The reversal of 110083940521 is 125049380011.

The square root of 110083940521 is 331789.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 39466192921 + 70617747600 = 198661^2 + 265740^2 .

It is not a de Polignac number, because 110083940521 - 23 = 110083940513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110083940221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163571641 + ... + 163572313.

Almost surely, 2110083940521 is an apocalyptic number.

110083940521 is the 331789-th square number.

110083940521 is the 165895-th centered octagonal number.

It is an amenable number.

110083940521 is a deficient number, since it is larger than the sum of its proper divisors (11208140870).

110083940521 is an frugal number, since it uses more digits than its factorization.

110083940521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 110083940521 in words is "one hundred ten billion, eighty-three million, nine hundred forty thousand, five hundred twenty-one".

Divisors: 1 17 29 289 493 673 841 8381 11441 14297 19517 194497 243049 331789 452929 565993 5640413 7699793 9621881 13134941 130896481 163571977 223293997 380913289 3795997949 6475525913 110083940521