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211221000020 = 225233671251161
BaseRepresentation
bin1100010010110111000…
…0001010111101010100
3202012012100120112202202
43010231300022331110
511430040034000040
6241011131024032
721155152606532
oct3045560127524
9665170515682
10211221000020
118163a825638
1234b2959b018
1316bc1c74464
14a31a47d152
15576361a015
hex312dc0af54

211221000020 has 48 divisors (see below), whose sum is σ = 464111036928. Its totient is φ = 80594722560.

The previous prime is 211221000017. The next prime is 211221000037. The reversal of 211221000020 is 20000122112.

It is a happy number.

It is a super-2 number, since 2×2112210000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220999965 and 211221000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456761 + ... + 794400.

It is an arithmetic number, because the mean of its divisors is an integer number (9668979936).

Almost surely, 2211221000020 is an apocalyptic number.

211221000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221000020 is an abundant number, since it is smaller than the sum of its proper divisors (252890036908).

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

211221000020 is a wasteful number, since it uses less digits than its factorization.

211221000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251560 (or 1251558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211221000020 its reverse (20000122112), we get a palindrome (231221122132).

The spelling of 211221000020 in words is "two hundred eleven billion, two hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 92 115 230 367 460 734 1468 1835 3670 7340 8441 16882 33764 42205 84410 168820 1251161 2502322 5004644 6255805 12511610 25023220 28776703 57553406 115106812 143883515 287767030 459176087 575534060 918352174 1836704348 2295880435 4591760870 9183521740 10561050001 21122100002 42244200004 52805250005 105610500010 211221000020