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211011222220 = 225313375231931
BaseRepresentation
bin1100010010000100111…
…1111011101011001100
3202011122201211201201121
43010201033323223030
511424122333102340
6240534234450324
721150024536461
oct3044117735314
9664581751647
10211011222220
1181542374457
1234a8b2939a4
1316b8a675796
14a2da673668
15574eecd94a
hex31213fbacc

211011222220 has 96 divisors (see below), whose sum is σ = 459890436096. Its totient is φ = 81241574400.

The previous prime is 211011222217. The next prime is 211011222239. The reversal of 211011222220 is 22222110112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211011222194 and 211011222203.

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, 109274655 + ... + 109276585.

It is an arithmetic number, because the mean of its divisors is an integer number (4790525376).

Almost surely, 2211011222220 is an apocalyptic number.

211011222220 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 211011222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229945218048).

211011222220 is an abundant number, since it is smaller than the sum of its proper divisors (248879213876).

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

211011222220 is a wasteful number, since it uses less digits than its factorization.

211011222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211011222220 its reverse (22222110112), we get a palindrome (233233332332).

The spelling of 211011222220 in words is "two hundred eleven billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 337 523 620 674 1046 1348 1685 1931 2092 2615 3370 3862 5230 6740 7724 9655 10447 10460 16213 19310 20894 32426 38620 41788 52235 59861 64852 81065 104470 119722 162130 176251 208940 239444 299305 324260 352502 598610 650747 705004 881255 1009913 1197220 1301494 1762510 2019826 2602988 3253735 3525020 4039652 5049565 5463781 6507470 10099130 10927562 13014940 20173157 20198260 21855124 27318905 31307303 40346314 54637810 62614606 80692628 100865785 109275620 125229212 156536515 201731570 313073030 340340681 403463140 626146060 680681362 1361362724 1701703405 3403406810 6806813620 10550561111 21101122222 42202244444 52752805555 105505611110 211011222220