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131403132 = 223271737829
BaseRepresentation
bin1111101010100…
…00110101111100
3100011020222012200
413311100311330
5232114400012
621012231500
73153623340
oct765206574
9304228180
10131403132
11681a0133
123800b590
13212ba343
1413647620
15b8093dc
hex7d50d7c

131403132 has 144 divisors (see below), whose sum is σ = 413300160. Its totient is φ = 34338816.

The previous prime is 131403131. The next prime is 131403133. The reversal of 131403132 is 231304131.

131403132 is a `hidden beast` number, since 131 + 403 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (131403131) and next prime (131403133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158094 + ... + 158922.

It is an arithmetic number, because the mean of its divisors is an integer number (2870140).

Almost surely, 2131403132 is an apocalyptic number.

131403132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206650080).

131403132 is an abundant number, since it is smaller than the sum of its proper divisors (281897028).

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

131403132 is a wasteful number, since it uses less digits than its factorization.

131403132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131403132 is about 11463.1205175554. The cubic root of 131403132 is about 508.3957432526.

Adding to 131403132 its reverse (231304131), we get a palindrome (362707263).

Subtracting 131403132 from its reverse (231304131), we obtain a palindrome (99900999).

The spelling of 131403132 in words is "one hundred thirty-one million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 37 42 51 63 68 74 84 102 111 119 126 148 153 204 222 238 252 259 306 333 357 444 476 518 612 629 666 714 777 829 1036 1071 1258 1332 1428 1554 1658 1887 2142 2331 2487 2516 3108 3316 3774 4284 4403 4662 4974 5661 5803 7461 7548 8806 9324 9948 11322 11606 13209 14093 14922 17409 17612 22644 23212 26418 28186 29844 30673 34818 39627 42279 52227 52836 56372 61346 69636 79254 84558 92019 98651 104454 122692 126837 158508 169116 184038 197302 208908 214711 253674 276057 295953 368076 394604 429422 507348 521441 552114 591906 644133 858844 887859 1042882 1104228 1183812 1288266 1564323 1775718 1932399 2085764 2576532 3128646 3551436 3650087 3864798 4692969 6257292 7300174 7729596 9385938 10950261 14600348 18771876 21900522 32850783 43801044 65701566 131403132