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211221023320 = 23528321438707
BaseRepresentation
bin1100010010110111000…
…0010000101001011000
3202012012100121201201201
43010231300100221120
511430040040221240
6241011131323544
721155153034466
oct3045560205130
9665170551651
10211221023320
118163a84109a
1234b295b05b4
1316bc1c81c48
14a31a487836
155763621d9a
hex312dc10a58

211221023320 has 64 divisors (see below), whose sum is σ = 477203973120. Its totient is φ = 84140913024.

The previous prime is 211221023291. The next prime is 211221023399. The reversal of 211221023320 is 23320122112.

211221023320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112210233202 (a number of 23 digits) contains 22 as substring.

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, 24254407 + ... + 24263113.

It is an arithmetic number, because the mean of its divisors is an integer number (7456312080).

Almost surely, 2211221023320 is an apocalyptic number.

211221023320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221023320 is an abundant number, since it is smaller than the sum of its proper divisors (265982949800).

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

211221023320 is a wasteful number, since it uses less digits than its factorization.

211221023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 211221023320 its reverse (23320122112), we get a palindrome (234541145432).

The spelling of 211221023320 in words is "two hundred eleven billion, two hundred twenty-one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 283 566 1132 1415 2143 2264 2830 4286 5660 8572 8707 10715 11320 17144 17414 21430 34828 42860 43535 69656 85720 87070 174140 348280 606469 1212938 2425876 2464081 3032345 4851752 4928162 6064690 9856324 12129380 12320405 18659101 19712648 24258760 24640810 37318202 49281620 74636404 93295505 98563240 149272808 186591010 373182020 746364040 5280525583 10561051166 21122102332 26402627915 42244204664 52805255830 105610511660 211221023320