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131055201613053 = 3471149755920233
BaseRepresentation
bin11101110011000110101010…
…101111001111010011111101
3122012000202101100000012120000
4131303012222233033103331
5114134202023103104203
61142421532314344513
736414266032344054
oct3563065257172375
9565022340005500
10131055201613053
1138838220788033
1212847461a2b139
1358185b614c893
142451169ab939b
1510240a71834a3
hex7731aabcf4fd

131055201613053 has 80 divisors (see below), whose sum is σ = 199899941472000. Its totient is φ = 85545903824640.

The previous prime is 131055201613051. The next prime is 131055201613087. The reversal of 131055201613053 is 350316102550131.

131055201613053 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 5 + 20 + 1 + 613 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 131055201613053 - 21 = 131055201613051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131055201612999 and 131055201613017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131055201613051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6477289425 + ... + 6477309657.

It is an arithmetic number, because the mean of its divisors is an integer number (2498749268400).

Almost surely, 2131055201613053 is an apocalyptic number.

It is an amenable number.

131055201613053 is a deficient number, since it is larger than the sum of its proper divisors (68844739858947).

131055201613053 is a wasteful number, since it uses less digits than its factorization.

131055201613053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28024 (or 28015 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 131055201613053 in words is "one hundred thirty-one trillion, fifty-five billion, two hundred one million, six hundred thirteen thousand, fifty-three".

Divisors: 1 3 9 27 71 81 149 213 447 639 1341 1917 4023 5751 7559 10579 12069 20233 22677 31737 60699 68031 95211 182097 204093 285633 536689 546291 612279 856899 1126291 1436543 1610067 1638873 3014717 3378873 4309629 4830201 9044151 10136619 12928887 14490603 27132453 30409857 38786661 43471809 79966661 81397359 91229571 116359983 152941247 214044907 239899983 244192077 458823741 642134721 719699949 1376471223 1926404163 2159099847 4129413669 5779212489 6477299541 10858828537 12388241007 17337637467 22788245803 32576485611 68364737409 97729456833 205094212227 293188370499 615282636681 879565111497 1617965452013 1845847910043 4853896356039 14561689068117 43685067204351 131055201613053