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130697433441 = 34401692
BaseRepresentation
bin111100110111000101…
…1001001000101100001
3110111100112021112110000
41321232023021011201
54120132020332231
6140012551330213
712304542566001
oct1715613110541
9414315245400
10130697433441
1150479326203
12213b6380969
13c42b525943
14647bd76001
1535ee1ca6e6
hex1e6e2c9161

130697433441 has 15 divisors (see below), whose sum is σ = 195244236451. Its totient is φ = 87129453168.

The previous prime is 130697433413. The next prime is 130697433469. The reversal of 130697433441 is 144334796031.

The square root of 130697433441 is 361521.

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

130697433441 is a `hidden beast` number, since 1 + 306 + 9 + 7 + 4 + 334 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (130697433413) and next prime (130697433469).

It can be written as a sum of positive squares in only one way, i.e., 128507193441 + 2190240000 = 358479^2 + 46800^2 .

It is not a de Polignac number, because 130697433441 - 27 = 130697433313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130697433401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3233605 + ... + 3273773.

Almost surely, 2130697433441 is an apocalyptic number.

130697433441 is the 361521-st square number.

130697433441 is the 180761-st centered octagonal number.

It is an amenable number.

130697433441 is a deficient number, since it is larger than the sum of its proper divisors (64546803010).

130697433441 is an frugal number, since it uses more digits than its factorization.

130697433441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80350 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 130697433441 in words is "one hundred thirty billion, six hundred ninety-seven million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 40169 120507 361521 1084563 3253689 1613548561 4840645683 14521937049 43565811147 130697433441