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131643501 = 311101127311
BaseRepresentation
bin1111101100010…
…11100001101101
3100011201011221020
413312023201231
5232200043001
621021324353
73155644203
oct766134155
9304634836
10131643501
1168344790
12381066b9
1321372882
14136ab073
15b855736
hex7d8b86d

131643501 has 32 divisors (see below), whose sum is σ = 195526656. Its totient is φ = 78120000.

The previous prime is 131643487. The next prime is 131643509. The reversal of 131643501 is 105346131.

It is not a de Polignac number, because 131643501 - 210 = 131642477 is a prime.

It is a super-2 number, since 2×1316435012 = 34660022711074002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131643509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423136 + ... + 423446.

It is an arithmetic number, because the mean of its divisors is an integer number (6110208).

Almost surely, 2131643501 is an apocalyptic number.

131643501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131643501 is a deficient number, since it is larger than the sum of its proper divisors (63883155).

131643501 is a wasteful number, since it uses less digits than its factorization.

131643501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131643501 is about 11473.6001760563. The cubic root of 131643501 is about 508.7055484991.

Adding to 131643501 its reverse (105346131), we get a palindrome (236989632).

The spelling of 131643501 in words is "one hundred thirty-one million, six hundred forty-three thousand, five hundred one".

Divisors: 1 3 11 33 101 127 303 311 381 933 1111 1397 3333 3421 4191 10263 12827 31411 38481 39497 94233 118491 141097 345521 423291 434467 1036563 1303401 3989197 11967591 43881167 131643501