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21122120220 = 223517137151153
BaseRepresentation
bin10011101010111110…
…011111101000011100
32000112000222212210220
4103222332133220130
5321224230321340
613411532201340
71345266026265
oct235276375034
960460885726
1021122120220
118a59982603
124115909250
131cb8001ab6
14104534196c
15839520ed0
hex4eaf9fa1c

21122120220 has 96 divisors (see below), whose sum is σ = 63078378048. Its totient is φ = 5262508032.

The previous prime is 21122120209. The next prime is 21122120231. The reversal of 21122120220 is 2202122112.

It is an interprime number because it is at equal distance from previous prime (21122120209) and next prime (21122120231).

It is a super-2 number, since 2×211221202202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21122120220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64164 + ... + 215316.

It is an arithmetic number, because the mean of its divisors is an integer number (657066438).

Almost surely, 221122120220 is an apocalyptic number.

21122120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31539189024).

21122120220 is an abundant number, since it is smaller than the sum of its proper divisors (41956257828).

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

21122120220 is a wasteful number, since it uses less digits than its factorization.

21122120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151319 (or 151317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21122120220 its reverse (2202122112), we get a palindrome (23324242332).

The spelling of 21122120220 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 137 170 204 255 274 340 411 510 548 685 822 1020 1370 1644 2055 2329 2740 4110 4658 6987 8220 9316 11645 13974 23290 27948 34935 46580 69870 139740 151153 302306 453459 604612 755765 906918 1511530 1813836 2267295 2569601 3023060 4534590 5139202 7708803 9069180 10278404 12848005 15417606 20707961 25696010 30835212 38544015 41415922 51392020 62123883 77088030 82831844 103539805 124247766 154176060 207079610 248495532 310619415 352035337 414159220 621238830 704070674 1056106011 1242477660 1408141348 1760176685 2112212022 3520353370 4224424044 5280530055 7040706740 10561060110 21122120220