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114310933801 = 55726072
BaseRepresentation
bin110101001110101110…
…1100110110100101001
3101221001112012002210221
41222131131212310221
53333102044340201
6124302544010041
711154505622401
oct1523535466451
9357045162727
10114310933801
114452a5a6519
121a1a2600921
13aa19676ccc
145765955801
152e907db4a1
hex1a9d766d29

114310933801 has 9 divisors (see below), whose sum is σ = 114705498999. Its totient is φ = 113917724664.

The previous prime is 114310933799. The next prime is 114310933853. The reversal of 114310933801 is 108339013411.

It is a happy number.

The square root of 114310933801 is 338099.

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., 10031024025 + 104279909776 = 100155^2 + 322924^2 .

It is not a de Polignac number, because 114310933801 - 21 = 114310933799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114310933871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 188320840 + ... + 188321446.

Almost surely, 2114310933801 is an apocalyptic number.

114310933801 is the 338099-th square number.

114310933801 is the 169050-th centered octagonal number.

It is an amenable number.

114310933801 is a deficient number, since it is larger than the sum of its proper divisors (394565198).

114310933801 is an frugal number, since it uses more digits than its factorization.

114310933801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 114310933801 in words is "one hundred fourteen billion, three hundred ten million, nine hundred thirty-three thousand, eight hundred one".

Divisors: 1 557 607 310249 338099 368449 188321143 205226093 114310933801