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131420610567 = 33174322729333
BaseRepresentation
bin111101001100101000…
…1110110000000000111
3110120012221001201222000
41322121101312000013
54123122134014232
6140212423440343
712331503521061
oct1723121660007
9416187051860
10131420610567
115080a565954
12215785b60b3
13c5152bb5bc
14650a024731
15364292a27c
hex1e99476007

131420610567 has 64 divisors (see below), whose sum is σ = 211880655360. Its totient is φ = 80184771072.

The previous prime is 131420610527. The next prime is 131420610571. The reversal of 131420610567 is 765016024131.

131420610567 is a `hidden beast` number, since 1 + 3 + 14 + 20 + 61 + 0 + 567 = 666.

It is not a de Polignac number, because 131420610567 - 210 = 131420609543 is a prime.

It is a super-2 number, since 2×1314206105672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131420610527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4465633 + ... + 4494965.

It is an arithmetic number, because the mean of its divisors is an integer number (3310635240).

Almost surely, 2131420610567 is an apocalyptic number.

131420610567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131420610567 is a deficient number, since it is larger than the sum of its proper divisors (80460044793).

131420610567 is a wasteful number, since it uses less digits than its factorization.

131420610567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629 (or 29623 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 131420610567 its reverse (765016024131), we get a palindrome (896436634698).

The spelling of 131420610567 in words is "one hundred thirty-one billion, four hundred twenty million, six hundred ten thousand, five hundred sixty-seven".

Divisors: 1 3 9 17 27 43 51 129 153 227 387 459 681 731 1161 2043 2193 3859 6129 6579 9761 11577 19737 29283 29333 34731 87849 87999 104193 165937 263547 263997 497811 498661 791991 1261319 1493433 1495983 3783957 4480299 4487949 6658591 11351871 13463847 19975773 21442423 34055613 59927319 64327269 113196047 179781957 192981807 286319413 339588141 578945421 858958239 1018764423 2576874717 3056293269 4867430021 7730624151 14602290063 43806870189 131420610567