Search a number
-
+
211000201020 = 22335755820159
BaseRepresentation
bin1100010010000010010…
…1111000111100111100
3202011121222002210111000
43010200211320330330
511424112022413040
6240533202330300
721146532054630
oct3044045707474
9664558083430
10211000201020
1181537127024
1234a87659990
1316b882b716b
14a2d9004dc0
15574e053130
hex3120978f3c

211000201020 has 96 divisors (see below), whose sum is σ = 750222950400. Its totient is φ = 48228616512.

The previous prime is 211000200991. The next prime is 211000201021. The reversal of 211000201020 is 20102000112.

211000201020 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000200993 and 211000201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27906300 + ... + 27913859.

It is an arithmetic number, because the mean of its divisors is an integer number (7814822400).

Almost surely, 2211000201020 is an apocalyptic number.

211000201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000201020 is an abundant number, since it is smaller than the sum of its proper divisors (539222749380).

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

211000201020 is a wasteful number, since it uses less digits than its factorization.

211000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55820184 (or 55820176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000201020 its reverse (20102000112), we get a palindrome (231102201132).

The spelling of 211000201020 in words is "two hundred eleven billion, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55820159 111640318 167460477 223280636 279100795 334920954 390741113 502381431 558201590 669841908 781482226 837302385 1004762862 1116403180 1172223339 1507144293 1562964452 1674604770 1953705565 2009525724 2344446678 2511907155 3014288586 3349209540 3516670017 3907411130 4688893356 5023814310 5861116695 6028577172 7033340034 7535721465 7814822260 10047628620 10550010051 11722233390 14066680068 15071442930 17583350085 21100020102 23444466780 30142885860 35166700170 42200040204 52750050255 70333400340 105500100510 211000201020