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211221002020 = 225710314647781
BaseRepresentation
bin1100010010110111000…
…0001011011100100100
3202012012100120122111211
43010231300023130210
511430040034031040
6241011131041204
721155152615420
oct3045560133444
9665170518454
10211221002020
118163a827096
1234b295a0204
1316bc1c75342
14a31a47db80
15576361a8ea
hex312dc0b724

211221002020 has 48 divisors (see below), whose sum is σ = 511852094208. Its totient is φ = 71715530880.

The previous prime is 211221001993. The next prime is 211221002039. The reversal of 211221002020 is 20200122112.

It is a happy number.

It is a super-2 number, since 2×2112210020202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7309471 + ... + 7338310.

It is an arithmetic number, because the mean of its divisors is an integer number (10663585296).

Almost surely, 2211221002020 is an apocalyptic number.

211221002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221002020 is an abundant number, since it is smaller than the sum of its proper divisors (300631092188).

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

211221002020 is a wasteful number, since it uses less digits than its factorization.

211221002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14647900 (or 14647898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211221002020 its reverse (20200122112), we get a palindrome (231421124132).

The spelling of 211221002020 in words is "two hundred eleven billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 14420 14647781 29295562 58591124 73238905 102534467 146477810 205068934 292955620 410137868 512672335 1025344670 1508721443 2050689340 3017442886 6034885772 7543607215 10561050101 15087214430 21122100202 30174428860 42244200404 52805250505 105610501010 211221002020