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100521304 = 231337151173
BaseRepresentation
bin1011111110111…
…01010101011000
321000011000022021
411333131111120
5201213140204
613550304224
72330263012
oct577352530
9230130267
10100521304
1151818164
12297b8074
1317a96b80
14d4c91b2
158c59154
hex5fdd558

100521304 has 64 divisors (see below), whose sum is σ = 211055040. Its totient is φ = 44582400.

The previous prime is 100521271. The next prime is 100521307. The reversal of 100521304 is 403125001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100521307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580962 + ... + 581134.

It is an arithmetic number, because the mean of its divisors is an integer number (3297735).

Almost surely, 2100521304 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 100521304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105527520).

100521304 is an abundant number, since it is smaller than the sum of its proper divisors (110533736).

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

100521304 is a wasteful number, since it uses less digits than its factorization.

100521304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100521304 is about 10026.0313185228. The cubic root of 100521304 is about 464.9640454722.

Adding to 100521304 its reverse (403125001), we get a palindrome (503646305).

The spelling of 100521304 in words is "one hundred million, five hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 151 173 296 302 346 481 604 692 962 1208 1384 1924 1963 2249 3848 3926 4498 5587 6401 7852 8996 11174 12802 15704 17992 22348 25604 26123 44696 51208 52246 72631 83213 104492 145262 166426 208984 290524 332852 339599 581048 665704 679198 966551 1358396 1933102 2716792 3866204 7732408 12565163 25130326 50260652 100521304