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101304522 = 232114112479
BaseRepresentation
bin1100000100111…
…00100011001010
321001121210200100
412002130203022
5201413221042
614015150230
72340034314
oct602344312
9231553610
10101304522
1152202650
1229b15376
1317cac507
14d6507b4
158d6124c
hex609c8ca

101304522 has 48 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 29947200.

The previous prime is 101304521. The next prime is 101304551. The reversal of 101304522 is 225403101.

101304522 is a `hidden beast` number, since 10 + 130 + 4 + 522 = 666.

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 = 101304495 and 101304504.

It is not an unprimeable number, because it can be changed into a prime (101304521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879 + ... + 14357.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2101304522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101304522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

101304522 is an abundant number, since it is smaller than the sum of its proper divisors (144002358).

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

101304522 is a wasteful number, since it uses less digits than its factorization.

101304522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12536 counting only the distinct ones).

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

The square root of 101304522 is about 10065.0147540875. The cubic root of 101304522 is about 466.1685213898.

Adding to 101304522 its reverse (225403101), we get a palindrome (326707623).

The spelling of 101304522 in words is "one hundred one million, three hundred four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 12479 24958 37437 74874 112311 137269 224622 274538 411807 511639 823614 1023278 1235421 1534917 2470842 3069834 4604751 5628029 9209502 11256058 16884087 33768174 50652261 101304522