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211220201220 = 22357502905241
BaseRepresentation
bin1100010010110110110…
…1000111111100000100
3202012012022001222000120
43010231231013330010
511430034332414340
6241011101541540
721155143041630
oct3045555077404
9665168058016
10211220201220
118163a32a476
1234b292748b0
1316bc1a549b2
14a31a311dc0
15576350d4d0
hex312db47f04

211220201220 has 48 divisors (see below), whose sum is σ = 675904645248. Its totient is φ = 48278903040.

The previous prime is 211220201147. The next prime is 211220201251. The reversal of 211220201220 is 22102022112.

211220201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112202012202 (a number of 23 digits) contains 22 as substring.

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 211220201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251452201 + ... + 251453040.

It is an arithmetic number, because the mean of its divisors is an integer number (14081346776).

Almost surely, 2211220201220 is an apocalyptic number.

211220201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220201220 is an abundant number, since it is smaller than the sum of its proper divisors (464684444028).

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

211220201220 is a wasteful number, since it uses less digits than its factorization.

211220201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502905260 (or 502905258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211220201220 its reverse (22102022112), we get a palindrome (233322223332).

The spelling of 211220201220 in words is "two hundred eleven billion, two hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 502905241 1005810482 1508715723 2011620964 2514526205 3017431446 3520336687 5029052410 6034862892 7040673374 7543578615 10058104820 10561010061 14081346748 15087157230 17601683435 21122020122 30174314460 35203366870 42244040244 52805050305 70406733740 105610100610 211220201220