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20331021300 = 22352297929581
BaseRepresentation
bin10010111011110100…
…101100001111110100
31221110220101220002220
4102323310230033310
5313114220140200
613201232202340
71316551554402
oct227364541764
957426356086
1020331021300
118693371247
123b349993b0
131bc0147525
14dac252472
157ded564a0
hex4bbd2c3f4

20331021300 has 144 divisors (see below), whose sum is σ = 61625222400. Its totient is φ = 5168217600.

The previous prime is 20331021251. The next prime is 20331021391. The reversal of 20331021300 is 312013302.

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 20331021300.

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, 672510 + ... + 702090.

Almost surely, 220331021300 is an apocalyptic number.

20331021300 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 20331021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30812611200).

20331021300 is an abundant number, since it is smaller than the sum of its proper divisors (41294201100).

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

20331021300 is a wasteful number, since it uses less digits than its factorization.

20331021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29706 (or 29699 counting only the distinct ones).

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

Adding to 20331021300 its reverse (312013302), we get a palindrome (20643034602).

The spelling of 20331021300 in words is "twenty billion, three hundred thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 79 87 100 116 145 150 158 174 237 290 300 316 348 395 435 474 580 725 790 870 948 1185 1450 1580 1740 1975 2175 2291 2370 2900 3950 4350 4582 4740 5925 6873 7900 8700 9164 11455 11850 13746 22910 23700 27492 29581 34365 45820 57275 59162 68730 88743 114550 118324 137460 147905 171825 177486 229100 295810 343650 354972 443715 591620 687300 739525 857849 887430 1479050 1715698 1774860 2218575 2336899 2573547 2958100 3431396 4289245 4437150 4673798 5147094 7010697 8578490 8874300 9347596 10294188 11684495 12867735 14021394 17156980 21446225 23368990 25735470 28042788 35053485 42892450 46737980 51470940 58422475 64338675 67770071 70106970 85784900 116844950 128677350 135540142 140213940 175267425 203310213 233689900 257354700 271080284 338850355 350534850 406620426 677700710 701069700 813240852 1016551065 1355401420 1694251775 2033102130 3388503550 4066204260 5082755325 6777007100 10165510650 20331021300