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132103524 = 22373197523
BaseRepresentation
bin1111101111110…
…11110101100100
3100012120112222010
413313323311210
5232304303044
621035234220
73162601320
oct767736544
9305515863
10132103524
1168629373
12382a8970
13214a4087
141378a980
15b8e6bb9
hex7dfbd64

132103524 has 96 divisors (see below), whose sum is σ = 368091136. Its totient is φ = 36080640.

The previous prime is 132103519. The next prime is 132103529. The reversal of 132103524 is 425301231.

132103524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132103519) and next prime (132103529).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 132103524.

It is not an unprimeable number, because it can be changed into a prime (132103529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252327 + ... + 252849.

Almost surely, 2132103524 is an apocalyptic number.

132103524 is a gapful number since it is divisible by the number (14) 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 132103524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184045568).

132103524 is an abundant number, since it is smaller than the sum of its proper divisors (235987612).

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

132103524 is a wasteful number, since it uses less digits than its factorization.

132103524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132103524 is about 11493.6297138893. The cubic root of 132103524 is about 509.2974100845.

Adding to 132103524 its reverse (425301231), we get a palindrome (557404755).

The spelling of 132103524 in words is "one hundred thirty-two million, one hundred three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 97 124 186 194 217 291 372 388 434 523 582 651 679 868 1046 1164 1302 1358 1569 2037 2092 2604 2716 3007 3138 3661 4074 6014 6276 7322 8148 9021 10983 12028 14644 16213 18042 21049 21966 32426 36084 42098 43932 48639 50731 63147 64852 84196 97278 101462 113491 126294 152193 194556 202924 226982 252588 304386 340473 355117 453964 608772 680946 710234 1065351 1361892 1420468 1572661 2130702 3145322 4261404 4717983 6290644 9435966 11008627 18871932 22017254 33025881 44034508 66051762 132103524