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132421100 = 225271011873
BaseRepresentation
bin1111110010010…
…01010111101100
3100020011200121012
413321021113230
5232344433400
621050124352
73165363230
oct771112754
9306150535
10132421100
1168825a29
12384206b8
13215857a6
14138305c0
15b95ad35
hex7e495ec

132421100 has 72 divisors (see below), whose sum is σ = 331832928. Its totient is φ = 44928000.

The previous prime is 132421087. The next prime is 132421141. The reversal of 132421100 is 1124231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69764 + ... + 71636.

Almost surely, 2132421100 is an apocalyptic number.

132421100 is a gapful number since it is divisible by the number (10) 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 132421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165916464).

132421100 is an abundant number, since it is smaller than the sum of its proper divisors (199411828).

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

132421100 is a wasteful number, since it uses less digits than its factorization.

132421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132421100 is about 11507.4367258743. The cubic root of 132421100 is about 509.7051993557.

Adding to 132421100 its reverse (1124231), we get a palindrome (133545331).

The spelling of 132421100 in words is "one hundred thirty-two million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 1873 2020 2525 2828 3535 3746 5050 7070 7492 9365 10100 13111 14140 17675 18730 26222 35350 37460 46825 52444 65555 70700 93650 131110 187300 189173 262220 327775 378346 655550 756692 945865 1311100 1324211 1891730 2648422 3783460 4729325 5296844 6621055 9458650 13242110 18917300 26484220 33105275 66210550 132421100