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1300213332 = 22321117318979
BaseRepresentation
bin100110101111111…
…1010111001010100
310100121120200101100
41031133322321110
510130323311312
6333004030100
744135426265
oct11537727124
93317520340
101300213332
11607a33580
12303532330
131794b1102
14c497896c
15792335dc
hex4d7fae54

1300213332 has 72 divisors (see below), whose sum is σ = 3606351840. Its totient is φ = 391705920.

The previous prime is 1300213303. The next prime is 1300213349. The reversal of 1300213332 is 2333120031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59019 + ... + 77997.

It is an arithmetic number, because the mean of its divisors is an integer number (50088220).

Almost surely, 21300213332 is an apocalyptic number.

1300213332 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 1300213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803175920).

1300213332 is an abundant number, since it is smaller than the sum of its proper divisors (2306138508).

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

1300213332 is a wasteful number, since it uses less digits than its factorization.

1300213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300213332 is about 36058.4710158376. The cubic root of 1300213332 is about 1091.4525795462.

Adding to 1300213332 its reverse (2333120031), we get a palindrome (3633333363).

The spelling of 1300213332 in words is "one billion, three hundred million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1557 1903 2076 3114 3806 5709 6228 7612 11418 17127 18979 22836 34254 37958 56937 68508 75916 113874 170811 208769 227748 341622 417538 626307 683244 835076 1252614 1878921 2505228 3283367 3757842 6566734 7515684 9850101 13133468 19700202 29550303 36117037 39400404 59100606 72234074 108351111 118201212 144468148 216702222 325053333 433404444 650106666 1300213332