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130683824557 = 11131319197591
BaseRepresentation
bin111100110110101011…
…1001110100110101101
3110111022120200010120021
41321231113032212231
54120120024341212
6140011343522141
712304316115646
oct1715527164655
9414276603507
10130683824557
11504716806a0
12213b18b9351
13c42876c550
14647a2326cd
1535ecddd307
hex1e6d5ce9ad

130683824557 has 32 divisors (see below), whose sum is σ = 154891376640. Its totient is φ = 108694872000.

The previous prime is 130683824507. The next prime is 130683824561. The reversal of 130683824557 is 755428386031.

It is a happy number.

It is not a de Polignac number, because 130683824557 - 231 = 128536340909 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130683824507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17211832 + ... + 17219422.

It is an arithmetic number, because the mean of its divisors is an integer number (4840355520).

Almost surely, 2130683824557 is an apocalyptic number.

It is an amenable number.

130683824557 is a deficient number, since it is larger than the sum of its proper divisors (24207552083).

130683824557 is a wasteful number, since it uses less digits than its factorization.

130683824557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665.

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 130683824557 in words is "one hundred thirty billion, six hundred eighty-three million, eight hundred twenty-four thousand, five hundred fifty-seven".

Divisors: 1 11 13 131 143 919 1441 1703 7591 10109 11947 18733 83501 98683 120389 131417 994421 1085513 1324279 1565057 6976129 10938631 12927473 17215627 76737419 90689677 142202203 913872899 997586447 10052601889 11880347687 130683824557