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101304528 = 24313315237
BaseRepresentation
bin1100000100111…
…00100011010000
321001121210200120
412002130203100
5201413221103
614015150240
72340034323
oct602344320
9231553616
10101304528
1152202656
1229b15380
1317cac510
14d6507ba
158d61253
hex609c8d0

101304528 has 80 divisors (see below), whose sum is σ = 290981376. Its totient is φ = 30159360.

The previous prime is 101304521. The next prime is 101304551. The reversal of 101304528 is 825403101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101304498 and 101304507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304521) 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, 16726 + ... + 21962.

Almost surely, 2101304528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101304528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145490688).

101304528 is an abundant number, since it is smaller than the sum of its proper divisors (189676848).

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

101304528 is a wasteful number, since it uses less digits than its factorization.

101304528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 101304528 is about 10065.0150521497. The cubic root of 101304528 is about 466.1685305931.

Adding to 101304528 its reverse (825403101), we get a palindrome (926707629).

The spelling of 101304528 in words is "one hundred one million, three hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 5237 6448 9672 10474 15711 19344 20948 31422 41896 62844 68081 83792 125688 136162 162347 204243 251376 272324 324694 408486 487041 544648 649388 816972 974082 1089296 1298776 1633944 1948164 2110511 2597552 3267888 3896328 4221022 6331533 7792656 8442044 12663066 16884088 25326132 33768176 50652264 101304528