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211211001020 = 22533181318271
BaseRepresentation
bin1100010010110100101…
…0000001110010111100
3202012011122202112201102
43010231022001302330
511430030004013040
6241010132432232
721155001613115
oct3045512016274
9665148675642
10211211001020
11816351161a8
1234b26178678
1316bbcb831a6
14a318dd920c
1557627e2515
hex312d281cbc

211211001020 has 24 divisors (see below), whose sum is σ = 443557863168. Its totient is φ = 84481588800.

The previous prime is 211211000999. The next prime is 211211001091. The reversal of 211211001020 is 20100112112.

It is a super-2 number, since 2×2112110010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211000992 and 211211001010.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 504485 + ... + 822755.

It is an arithmetic number, because the mean of its divisors is an integer number (18481577632).

Almost surely, 2211211001020 is an apocalyptic number.

211211001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211001020 is an abundant number, since it is smaller than the sum of its proper divisors (232346862148).

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

211211001020 is a wasteful number, since it uses less digits than its factorization.

211211001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351461 (or 351459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211211001020 its reverse (20100112112), we get a palindrome (231311113132).

The spelling of 211211001020 in words is "two hundred eleven billion, two hundred eleven million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 33181 66362 132724 165905 318271 331810 636542 663620 1273084 1591355 3182710 6365420 10560550051 21121100102 42242200204 52802750255 105605500510 211211001020