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1013300232 = 2337171971801
BaseRepresentation
bin111100011001011…
…011110000001000
32121121200222121020
4330121123300020
54033401101412
6244314312440
734052624040
oct7431336010
92547628536
101013300232
1147aa8850a
12243428720
13131c15c49
1498810720
155de5c18c
hex3c65bc08

1013300232 has 128 divisors (see below), whose sum is σ = 3082717440. Its totient is φ = 270950400.

The previous prime is 1013300231. The next prime is 1013300243. The reversal of 1013300232 is 2320033101.

It is not an unprimeable number, because it can be changed into a prime (1013300231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561732 + ... + 563532.

It is an arithmetic number, because the mean of its divisors is an integer number (24083730).

Almost surely, 21013300232 is an apocalyptic number.

1013300232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541358720).

1013300232 is an abundant number, since it is smaller than the sum of its proper divisors (2069417208).

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

1013300232 is a wasteful number, since it uses less digits than its factorization.

1013300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1013300232 is about 31832.3771025665. The cubic root of 1013300232 is about 1004.4138994933.

Adding to 1013300232 its reverse (2320033101), we get a palindrome (3333333333).

The spelling of 1013300232 in words is "one billion, thirteen million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 197 204 238 357 394 408 476 591 714 788 952 1182 1379 1428 1576 1801 2364 2758 2856 3349 3602 4137 4728 5403 5516 6698 7204 8274 10047 10806 11032 12607 13396 14408 16548 20094 21612 23443 25214 26792 30617 33096 37821 40188 43224 46886 50428 61234 70329 75642 80376 91851 93772 100856 122468 140658 151284 183702 187544 214319 244936 281316 302568 354797 367404 428638 562632 642957 709594 734808 857276 1064391 1285914 1419188 1714552 2128782 2483579 2571828 2838376 4257564 4967158 5143656 6031549 7450737 8515128 9934316 12063098 14901474 18094647 19868632 24126196 29802948 36189294 42220843 48252392 59605896 72378588 84441686 126662529 144757176 168883372 253325058 337766744 506650116 1013300232