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110740531729 = 4327121092
BaseRepresentation
bin110011100100010100…
…1100110101000010001
3101120211200211212221011
41213020221212220101
53303244034003404
6122512401530521
711000152663042
oct1471051465021
9346750755834
10110740531729
1142a68163603
1219566943a41
13a59aa5ab69
1455076ac8c9
152d32124604
hex19c8a66a11

110740531729 has 27 divisors (see below), whose sum is σ = 116059797819. Its totient is φ = 105663353040.

The previous prime is 110740531723. The next prime is 110740531771. The reversal of 110740531729 is 927135047011.

It is a happy number.

The square root of 110740531729 is 332777.

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

It can be written as a sum of positive squares in only one way, i.e., 77185619329 + 33554912400 = 277823^2 + 183180^2 .

It is not a de Polignac number, because 110740531729 - 25 = 110740531697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110740531691 and 110740531700.

It is not an unprimeable number, because it can be changed into a prime (110740531723) 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, 1015968127 + ... + 1015968235.

Almost surely, 2110740531729 is an apocalyptic number.

110740531729 is the 332777-th square number.

110740531729 is the 166389-th centered octagonal number.

It is an amenable number.

110740531729 is a deficient number, since it is larger than the sum of its proper divisors (5319266090).

110740531729 is an frugal number, since it uses more digits than its factorization.

110740531729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 110740531729 in words is "one hundred ten billion, seven hundred forty million, five hundred thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 43 71 109 1849 3053 4687 5041 7739 11881 131279 201541 216763 332777 510883 549469 843551 9320809 14309411 21967969 23627167 36272693 59892121 1015968181 1559725799 2575361203 110740531729