Search a number
-
+
211131121222120 = 23511479843457323
BaseRepresentation
bin110000000000010111001011…
…011110110100000111101000
31000200112221022211222222002211
4300000113023132310013220
5210133133014013101440
62025012144215534504
762320502001510511
oct6000271336640750
91020487284888084
10211131121222120
1161300229831140
121b81a76138a434
1390a676b958ba8
143a1cb2d529a08
151962011c35eea
hexc005cb7b41e8

211131121222120 has 32 divisors (see below), whose sum is σ = 518230933909920. Its totient is φ = 76774953171520.

The previous prime is 211131121222067. The next prime is 211131121222141. The reversal of 211131121222120 is 21222121131112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211131121222091 and 211131121222100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239921728222 + ... + 239921729101.

It is an arithmetic number, because the mean of its divisors is an integer number (16194716684685).

Almost surely, 2211131121222120 is an apocalyptic number.

211131121222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131121222120 is an abundant number, since it is smaller than the sum of its proper divisors (307099812687800).

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

211131121222120 is a wasteful number, since it uses less digits than its factorization.

211131121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479843457345 (or 479843457341 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 211131121222120 its reverse (21222121131112), we get a palindrome (232353242353232).

The spelling of 211131121222120 in words is "two hundred eleven trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479843457323 959686914646 1919373829292 2399217286615 3838747658584 4798434573230 5278278030553 9596869146460 10556556061106 19193738292920 21113112122212 26391390152765 42226224244424 52782780305530 105565560611060 211131121222120