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130454441 = 13292931181
BaseRepresentation
bin1111100011010…
…01001110101001
3100002110202211222
413301221032221
5231344020231
620540031425
73142562435
oct761511651
9302422758
10130454441
1167702397
1237832575
13210475a0
141347b9c5
15b6bd27b
hex7c693a9

130454441 has 16 divisors (see below), whose sum is σ = 145953360. Its totient is φ = 115772160.

The previous prime is 130454407. The next prime is 130454461. The reversal of 130454441 is 144454031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14440000 + 116014441 = 3800^2 + 10771^2 .

It is a cyclic number.

It is not a de Polignac number, because 130454441 - 26 = 130454377 is a prime.

It is a super-2 number, since 2×1304544412 = 34036722353244962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130454441.

It is not an unprimeable number, because it can be changed into a prime (130454461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109871 + ... + 111051.

It is an arithmetic number, because the mean of its divisors is an integer number (9122085).

Almost surely, 2130454441 is an apocalyptic number.

It is an amenable number.

130454441 is a deficient number, since it is larger than the sum of its proper divisors (15498919).

130454441 is a wasteful number, since it uses less digits than its factorization.

130454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 130454441 is about 11421.6654214698. The cubic root of 130454441 is about 507.1692989793.

The spelling of 130454441 in words is "one hundred thirty million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 13 29 293 377 1181 3809 8497 15353 34249 110461 346033 445237 4498429 10034957 130454441