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20334131300 = 22527172116879
BaseRepresentation
bin10010111100000000…
…100011100001100100
31221111010020220020002
4102330000203201210
5313121014200200
613201423000432
71316620156430
oct227400434144
957433226202
1020334131300
1186950a589a
123b35a39118
131bc0995c72
14dac8219c0
157e026cbd5
hex4bc023864

20334131300 has 72 divisors (see below), whose sum is σ = 50460936960. Its totient is φ = 6967238400.

The previous prime is 20334131291. The next prime is 20334131309. The reversal of 20334131300 is 313143302.

It is an interprime number because it is at equal distance from previous prime (20334131291) and next prime (20334131309).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20334131309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196261 + ... + 1213139.

Almost surely, 220334131300 is an apocalyptic number.

20334131300 is a gapful number since it is divisible by the number (20) 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 20334131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25230468480).

20334131300 is an abundant number, since it is smaller than the sum of its proper divisors (30126805660).

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

20334131300 is a wasteful number, since it uses less digits than its factorization.

20334131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621 (or 18614 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20334131300 its reverse (313143302), we get a palindrome (20647274602).

The spelling of 20334131300 in words is "twenty billion, three hundred thirty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1721 3442 6884 8605 12047 16879 17210 24094 33758 34420 43025 48188 60235 67516 84395 86050 118153 120470 168790 172100 236306 240940 301175 337580 421975 472612 590765 602350 843950 1181530 1204700 1687900 2363060 2953825 5907650 11815300 29048759 58097518 116195036 145243795 203341313 290487590 406682626 580975180 726218975 813365252 1016706565 1452437950 2033413130 2904875900 4066826260 5083532825 10167065650 20334131300