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131120235122553 = 33171319112393687
BaseRepresentation
bin11101110100000011001111…
…000010011000111101111001
3122012020222020122000210021000
4131310003033002120331321
5114141233220142410203
61142511445432235213
736422060442142425
oct3564031702307571
9565228218023230
10131120235122553
113886286347a2a6
1212857b9153bb09
13582177b66bb51
142454378c73b85
151025b1175b4a3
hex7740cf098f79

131120235122553 has 64 divisors (see below), whose sum is σ = 207476450058240. Its totient is φ = 81553839494400.

The previous prime is 131120235122491. The next prime is 131120235122563. The reversal of 131120235122553 is 355221532021131.

131120235122553 is a `hidden beast` number, since 1 + 3 + 1 + 12 + 0 + 23 + 51 + 22 + 553 = 666.

It is not a de Polignac number, because 131120235122553 - 226 = 131120168013689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131120235122563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53580676 + ... + 55974362.

It is an arithmetic number, because the mean of its divisors is an integer number (3241819532160).

Almost surely, 2131120235122553 is an apocalyptic number.

It is an amenable number.

131120235122553 is a deficient number, since it is larger than the sum of its proper divisors (76356214935687).

131120235122553 is a wasteful number, since it uses less digits than its factorization.

131120235122553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394755 (or 2394749 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 131120235122553 its reverse (355221532021131), we get a palindrome (486341767143684).

The spelling of 131120235122553 in words is "one hundred thirty-one trillion, one hundred twenty billion, two hundred thirty-five million, one hundred twenty-two thousand, five hundred fifty-three".

Divisors: 1 3 9 17 27 51 131 153 393 459 911 1179 2227 2733 3537 6681 8199 15487 20043 24597 46461 60129 119341 139383 358023 418149 1074069 2028797 2393687 3222207 6086391 7181061 18259173 21543183 40692679 54777519 64629549 122078037 313572997 366234111 940718991 1098702333 2180648857 2822156973 5330740949 6541946571 8466470919 15992222847 19625839713 37071030569 47976668541 58877519139 111213091707 143930005623 285665000267 333639275121 856995000801 1000917825363 2570985002403 4856305004539 7712955007209 14568915013617 43706745040851 131120235122553