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100001304 = 2336131319
BaseRepresentation
bin1011111010111…
…10011000011000
320222011121000000
411331132120120
5201100020204
613531213000
72322665664
oct575363030
9228147000
10100001304
11514a2507
12295a7160
1317944290
14d3d18a4
158ba5039
hex5f5e618

100001304 has 112 divisors (see below), whose sum is σ = 302979600. Its totient is φ = 30746304.

The previous prime is 100001303. The next prime is 100001329. The reversal of 100001304 is 403100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001303) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75157 + ... + 76475.

It is an arithmetic number, because the mean of its divisors is an integer number (2705175).

Almost surely, 2100001304 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 100001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151489800).

100001304 is an abundant number, since it is smaller than the sum of its proper divisors (202978296).

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

100001304 is a wasteful number, since it uses less digits than its factorization.

100001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100001304 is about 10000.0651997874. The cubic root of 100001304 is about 464.1609008965.

Adding to 100001304 its reverse (403100001), we get a palindrome (503101305).

The spelling of 100001304 in words is "one hundred million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1319 1404 1458 1944 2106 2638 2808 2916 3159 3957 4212 5276 5832 6318 7914 8424 9477 10552 11871 12636 15828 17147 18954 23742 25272 31656 34294 35613 37908 47484 51441 68588 71226 75816 94968 102882 106839 137176 142452 154323 205764 213678 284904 308646 320517 411528 427356 462969 617292 641034 854712 925938 961551 1234584 1282068 1388907 1851876 1923102 2564136 2777814 3703752 3846204 4166721 5555628 7692408 8333442 11111256 12500163 16666884 25000326 33333768 50000652 100001304