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21221201118 = 23131989251641
BaseRepresentation
bin10011110000111000…
…011101010011011110
32000202221102201020210
4103300320131103132
5321430111413433
613425431553250
71350611143005
oct236070352336
960687381223
1021221201118
118aaa8a6547
124142b2b826
1320026b3150
141054573c3c
15843093463
hex4f0e1d4de

21221201118 has 128 divisors (see below), whose sum is σ = 48923481600. Its totient is φ = 6082560000.

The previous prime is 21221201117. The next prime is 21221201129. The reversal of 21221201118 is 81110212212.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21221201094 and 21221201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221201117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33106078 + ... + 33106718.

It is an arithmetic number, because the mean of its divisors is an integer number (382214700).

Almost surely, 221221201118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221201118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24461740800).

21221201118 is an abundant number, since it is smaller than the sum of its proper divisors (27702280482).

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

21221201118 is a wasteful number, since it uses less digits than its factorization.

21221201118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 21221201118 in words is "twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 89 114 178 247 251 267 494 502 534 641 741 753 1157 1282 1482 1506 1691 1923 2314 3263 3382 3471 3846 4769 5073 6526 6942 8333 9538 9789 10146 12179 14307 16666 19578 21983 22339 24358 24999 28614 36537 43966 44678 49998 57049 61997 65949 67017 73074 114098 123994 131898 134034 158327 160891 171147 185991 290407 316654 321782 342294 371982 424441 474981 482673 580814 741637 848882 871221 949962 965346 1083931 1273323 1483274 1742442 2091583 2167862 2224911 2546646 3056929 3251793 4183166 4449822 5517733 6113858 6274749 6503586 9170787 11035466 12549498 14091103 14319299 16553199 18341574 28182206 28638598 33106398 39740077 42273309 42957897 79480154 84546618 85915794 119220231 186150887 238440462 272066681 372301774 544133362 558452661 816200043 1116905322 1632400086 3536866853 7073733706 10610600559 21221201118