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20031001300 = 22522316635237
BaseRepresentation
bin10010101001111100…
…001101001011010100
31220200222212022001001
4102221330031023110
5312010414020200
613111353513044
71306246462462
oct225174151324
956628768031
1020031001300
118549a83832
123a70412784
131b72c405bb
14d80475832
157c384176a
hex4a9f0d2d4

20031001300 has 72 divisors (see below), whose sum is σ = 45393094656. Its totient is φ = 7657964160.

The previous prime is 20031001273. The next prime is 20031001303. The reversal of 20031001300 is 310013002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031001303) 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 23 ways as a sum of consecutive naturals, for example, 3822282 + ... + 3827518.

It is an arithmetic number, because the mean of its divisors is an integer number (630459648).

Almost surely, 220031001300 is an apocalyptic number.

20031001300 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 20031001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696547328).

20031001300 is an abundant number, since it is smaller than the sum of its proper divisors (25362093356).

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

20031001300 is a wasteful number, since it uses less digits than its factorization.

20031001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 20031001300 its reverse (310013002), we get a palindrome (20341014302).

The spelling of 20031001300 in words is "twenty billion, thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1663 2300 3326 5237 6652 8315 10474 16630 20948 26185 33260 38249 41575 52370 76498 83150 104740 120451 130925 152996 166300 191245 240902 261850 382490 481804 523700 602255 764980 956225 1204510 1912450 2409020 3011275 3824900 6022550 8709131 12045100 17418262 34836524 43545655 87091310 174182620 200310013 217728275 400620026 435456550 801240052 870913100 1001550065 2003100130 4006200260 5007750325 10015500650 20031001300