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132521022 = 2352571061
BaseRepresentation
bin1111110011000…
…01110000111110
3100020100202200000
413321201300332
5232411133042
621052215130
73166260444
oct771416076
9306322600
10132521022
1168894007
123846a4a6
13215bc10a
1413858b94
15b97a74c
hex7e61c3e

132521022 has 48 divisors (see below), whose sum is σ = 299203632. Its totient is φ = 43960320.

The previous prime is 132520951. The next prime is 132521023. The reversal of 132521022 is 220125231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132520986 and 132521004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132521023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124372 + ... + 125432.

It is an arithmetic number, because the mean of its divisors is an integer number (6233409).

Almost surely, 2132521022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132521022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149601816).

132521022 is an abundant number, since it is smaller than the sum of its proper divisors (166682610).

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

132521022 is a wasteful number, since it uses less digits than its factorization.

132521022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132521022 is about 11511.7775343341. Note that the first 3 decimals coincide. The cubic root of 132521022 is about 509.8333711700.

Adding to 132521022 its reverse (220125231), we get a palindrome (352646253).

The spelling of 132521022 in words is "one hundred thirty-two million, five hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 257 486 514 771 1061 1542 2122 2313 3183 4626 6366 6939 9549 13878 19098 20817 28647 41634 57294 62451 85941 124902 171882 257823 272677 515646 545354 818031 1636062 2454093 4908186 7362279 14724558 22086837 44173674 66260511 132521022