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131181132 = 22337436871
BaseRepresentation
bin1111101000110…
…10101001001100
3100010211200200110
413310122221030
5232040244012
621003400020
73152010165
oct764325114
9303750613
10131181132
1168059365
1237b23010
1321240294
14135ca76c
15b7b373c
hex7d1aa4c

131181132 has 48 divisors (see below), whose sum is σ = 321719552. Its totient is φ = 41549760.

The previous prime is 131181079. The next prime is 131181133. The reversal of 131181132 is 231181131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131181099 and 131181108.

It is not an unprimeable number, because it can be changed into a prime (131181133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15657 + ... + 22527.

Almost surely, 2131181132 is an apocalyptic number.

131181132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131181132 is an abundant number, since it is smaller than the sum of its proper divisors (190538420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131181132 is a wasteful number, since it uses less digits than its factorization.

131181132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6956 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 131181132 is about 11453.4331970811. The cubic root of 131181132 is about 508.1092775432.

Subtracting 131181132 from its reverse (231181131), we obtain a palindrome (99999999).

The spelling of 131181132 in words is "one hundred thirty-one million, one hundred eighty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 43 74 86 111 129 148 172 222 258 444 516 1591 3182 4773 6364 6871 9546 13742 19092 20613 27484 41226 82452 254227 295453 508454 590906 762681 886359 1016908 1181812 1525362 1772718 3050724 3545436 10931761 21863522 32795283 43727044 65590566 131181132