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211221211012 = 22731653372653
BaseRepresentation
bin1100010010110111000…
…0111110011110000100
3202012012100222021012021
43010231300332132010
511430040112223022
6241011135332524
721155154445630
oct3045560763604
9665170867167
10211221211012
118163a95a109
1234b29681144
1316bc20194c6
14a31a4d5dc0
15576365c7c7
hex312dc3e784

211221211012 has 48 divisors (see below), whose sum is σ = 436738563072. Its totient is φ = 87468877440.

The previous prime is 211221210947. The next prime is 211221211021. The reversal of 211221211012 is 210112122112.

211221211012 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 2×2112212110122 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380478 + ... + 753130.

It is an arithmetic number, because the mean of its divisors is an integer number (9098720064).

Almost surely, 2211221211012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218369281536).

211221211012 is an abundant number, since it is smaller than the sum of its proper divisors (225517352060).

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

211221211012 is a wasteful number, since it uses less digits than its factorization.

211221211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373348 (or 373346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221211012 its reverse (210112122112), we get a palindrome (421333333124).

The spelling of 211221211012 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 653 868 1306 2612 4571 9142 18284 20243 40486 80972 141701 283402 372653 566804 745306 1490612 2608571 5217142 10434284 11552243 23104486 46208972 80865701 161731402 243342409 323462804 486684818 973369636 1703396863 3406793726 6813587452 7543614679 15087229358 30174458716 52805302753 105610605506 211221211012