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20033130300 = 22352233463619
BaseRepresentation
bin10010101010000100…
…010100111100111100
31220201010212110110220
4102222010110330330
5312011440132200
613111511301340
71306303540461
oct225204247474
956633773426
1020033130300
1185501a8337
123a7107a850
131b73507671
14d8086b668
157c3b124a0
hex4aa114f3c

20033130300 has 144 divisors (see below), whose sum is σ = 58431260160. Its totient is φ = 5299176960.

The previous prime is 20033130283. The next prime is 20033130317. The reversal of 20033130300 is 303133002.

It is an interprime number because it is at equal distance from previous prime (20033130283) and next prime (20033130317).

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 20033130300.

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, 32363391 + ... + 32364009.

It is an arithmetic number, because the mean of its divisors is an integer number (405772640).

Almost surely, 220033130300 is an apocalyptic number.

20033130300 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 20033130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215630080).

20033130300 is an abundant number, since it is smaller than the sum of its proper divisors (38398129860).

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

20033130300 is a wasteful number, since it uses less digits than its factorization.

20033130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

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

Adding to 20033130300 its reverse (303133002), we get a palindrome (20336263302).

The spelling of 20033130300 in words is "twenty billion, thirty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 463 466 619 699 926 932 1165 1238 1389 1398 1852 1857 2315 2330 2476 2778 2796 3095 3495 3714 4630 4660 5556 5825 6190 6945 6990 7428 9260 9285 11575 11650 12380 13890 13980 15475 17475 18570 23150 23300 27780 30950 34725 34950 37140 46300 46425 61900 69450 69900 92850 107879 138900 144227 185700 215758 286597 288454 323637 431516 432681 539395 573194 576908 647274 721135 859791 865362 1078790 1146388 1294548 1432985 1442270 1618185 1719582 1730724 2157580 2163405 2696975 2865970 2884540 3236370 3439164 3605675 4298955 4326810 5393950 5731940 6472740 7164925 7211350 8090925 8597910 8653620 10787900 10817025 14329850 14422700 16181850 17195820 21494775 21634050 28659700 32363700 42989550 43268100 66777101 85979100 133554202 200331303 267108404 333885505 400662606 667771010 801325212 1001656515 1335542020 1669427525 2003313030 3338855050 4006626060 5008282575 6677710100 10016565150 20033130300