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2011122332220 = 22351711631695347
BaseRepresentation
bin11101010001000000001…
…110110111001000111100
321010021001120110212110110
4131101000032313020330
5230422234304112340
64135521415110020
7265204325524431
oct35210016671074
97107046425413
102011122332220
11705a04143691
12285928972310
13117856921341
146d4a5ac5b88
15374a9683680
hex1d4403b723c

2011122332220 has 96 divisors (see below), whose sum is σ = 5967516457728. Its totient is φ = 504317965312.

The previous prime is 2011122332213. The next prime is 2011122332239. The reversal of 2011122332220 is 222332211102.

It is a super-2 number, since 2×20111223322202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 338587 + ... + 2033933.

It is an arithmetic number, because the mean of its divisors is an integer number (62161629768).

Almost surely, 22011122332220 is an apocalyptic number.

2011122332220 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 2011122332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983758228864).

2011122332220 is an abundant number, since it is smaller than the sum of its proper divisors (3956394125508).

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

2011122332220 is a wasteful number, since it uses less digits than its factorization.

2011122332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696539 (or 1696537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2011122332220 its reverse (222332211102), we get a palindrome (2233454543322).

The spelling of 2011122332220 in words is "two trillion, eleven billion, one hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1163 2326 3489 4652 5815 6978 11630 13956 17445 19771 23260 34890 39542 59313 69780 79084 98855 118626 197710 237252 296565 395420 593130 1186260 1695347 3390694 5086041 6781388 8476735 10172082 16953470 20344164 25430205 28820899 33906940 50860410 57641798 86462697 101720820 115283596 144104495 172925394 288208990 345850788 432313485 576417980 864626970 1729253940 1971688561 3943377122 5915065683 7886754244 9858442805 11830131366 19716885610 23660262732 29575328415 33518705537 39433771220 59150656830 67037411074 100556116611 118301313660 134074822148 167593527685 201112233222 335187055370 402224466444 502780583055 670374110740 1005561166110 2011122332220