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211200002020 = 225719768110337
BaseRepresentation
bin1100010010110010000…
…0000100011111100100
3202012010220001201221001
43010230200010133210
511430014200031040
6241005101003044
721154506253060
oct3045440043744
9665126051831
10211200002020
1181629993517
1234b22553484
1316bba8019c7
14a317774aa0
15576186d59a
hex312c8047e4

211200002020 has 96 divisors (see below), whose sum is σ = 533678987520. Its totient is φ = 68584734720.

The previous prime is 211200001997. The next prime is 211200002081. The reversal of 211200002020 is 20200002112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211200001988 and 211200002006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20426292 + ... + 20436628.

It is an arithmetic number, because the mean of its divisors is an integer number (5559156120).

Almost surely, 2211200002020 is an apocalyptic number.

211200002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200002020 is an abundant number, since it is smaller than the sum of its proper divisors (322478985500).

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

211200002020 is a wasteful number, since it uses less digits than its factorization.

211200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18053 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211200002020 its reverse (20200002112), we get a palindrome (231400004132).

The spelling of 211200002020 in words is "two hundred eleven billion, two hundred million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 7681 10337 15362 20674 30724 38405 41348 51685 53767 72359 76810 103370 107534 144718 145939 153620 196403 206740 215068 268835 289436 291878 361795 392806 537670 583756 723590 729695 785612 982015 1021573 1075340 1374821 1447180 1459390 1964030 2043146 2749642 2918780 3928060 4086292 5107865 5499284 6874105 10215730 13748210 20431460 27496420 79398497 158796994 317593988 396992485 555789479 793984970 1111578958 1508571443 1587969940 2223157916 2778947395 3017142886 5557894790 6034285772 7542857215 10560000101 11115789580 15085714430 21120000202 30171428860 42240000404 52800000505 105600001010 211200002020