Search a number
-
+
100239992449 = 137223112
BaseRepresentation
bin101110101011011000…
…1001110011010000001
3100120201220020012222221
41131112301032122001
53120242414224244
6114014414531041
710146016606642
oct1352661163201
9316656205887
10100239992449
1139569953a73
1217516206a81
1395b6459ccc
144bccc936c9
15291a343784
hex1756c4e681

100239992449 has 9 divisors (see below), whose sum is σ = 101020724931. Its totient is φ = 99465255120.

The previous prime is 100239992393. The next prime is 100239992467. The reversal of 100239992449 is 944299932001.

The square root of 100239992449 is 316607.

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., 58881449025 + 41358543424 = 242655^2 + 203368^2 .

It is not a de Polignac number, because 100239992449 - 235 = 65880254081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100239992396 and 100239992405.

It is not an unprimeable number, because it can be changed into a prime (100239992849) 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, 43374004 + ... + 43376314.

Almost surely, 2100239992449 is an apocalyptic number.

100239992449 is the 316607-th square number.

100239992449 is the 158304-th centered octagonal number.

It is an amenable number.

100239992449 is a deficient number, since it is larger than the sum of its proper divisors (780732482).

100239992449 is an frugal number, since it uses more digits than its factorization.

100239992449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 100239992449 in words is "one hundred billion, two hundred thirty-nine million, nine hundred ninety-two thousand, four hundred forty-nine".

Divisors: 1 137 2311 18769 316607 5340721 43375159 731678777 100239992449