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20130033300 = 22352135219907
BaseRepresentation
bin10010101111110101…
…111110111010010100
31220221220012122101220
4102233311332322110
5312211242031200
613125252250340
71311561313506
oct225765767224
956856178356
1020130033300
11859a973a63
123a996109b0
131b8a605610
14d8d693d76
157cc3a44a0
hex4afd7ee94

20130033300 has 144 divisors (see below), whose sum is σ = 62849852352. Its totient is φ = 4945075200.

The previous prime is 20130033299. The next prime is 20130033323. The reversal of 20130033300 is 333003102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20130033300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026947 + ... + 2036853.

It is an arithmetic number, because the mean of its divisors is an integer number (436457308).

Almost surely, 220130033300 is an apocalyptic number.

20130033300 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 20130033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31424926176).

20130033300 is an abundant number, since it is smaller than the sum of its proper divisors (42719819052).

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

20130033300 is a wasteful number, since it uses less digits than its factorization.

20130033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10458 (or 10451 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 20130033300 its reverse (333003102), we get a palindrome (20463036402).

The spelling of 20130033300 in words is "twenty billion, one hundred thirty million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 521 650 780 975 1042 1300 1563 1950 2084 2605 3126 3900 5210 6252 6773 7815 9907 10420 13025 13546 15630 19814 20319 26050 27092 29721 31260 33865 39075 39628 40638 49535 52100 59442 67730 78150 81276 99070 101595 118884 128791 135460 148605 156300 169325 198140 203190 247675 257582 297210 338650 386373 406380 495350 507975 515164 594420 643955 677300 743025 772746 990700 1015950 1287910 1486050 1545492 1931865 2031900 2575820 2972100 3219775 3863730 5161547 6439550 7727460 9659325 10323094 12879100 15484641 19318650 20646188 25807735 30969282 38637300 51615470 61938564 67100111 77423205 103230940 129038675 134200222 154846410 201300333 258077350 268400444 309692820 335500555 387116025 402600666 516154700 671001110 774232050 805201332 1006501665 1342002220 1548464100 1677502775 2013003330 3355005550 4026006660 5032508325 6710011100 10065016650 20130033300