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21220221211002 = 235114199473423
BaseRepresentation
bin1001101001100101101111…
…01111110101000101111010
32210010122002200221120100000
410310302313233311011322
510240133003112223002
6113044233545253430
74320052602130602
oct464626757650572
983118080846300
1021220221211002
116841499733260
122468755194276
13bac09b049048
145350c81b1c02
1526bebee3661c
hex134cb7bf517a

21220221211002 has 96 divisors (see below), whose sum is σ = 52138694200320. Its totient is φ = 6415022441520.

The previous prime is 21220221210967. The next prime is 21220221211043. The reversal of 21220221211002 is 20011212202212.

It is a happy number.

21220221211002 is a `hidden beast` number, since 212 + 20 + 221 + 211 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496738 + ... + 6976685.

It is an arithmetic number, because the mean of its divisors is an integer number (543111397920).

Almost surely, 221220221211002 is an apocalyptic number.

21220221211002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21220221211002 is an abundant number, since it is smaller than the sum of its proper divisors (30918472989318).

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

21220221211002 is a wasteful number, since it uses less digits than its factorization.

21220221211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473870 (or 9473858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220221211002 its reverse (20011212202212), we get a palindrome (41231433413214).

The spelling of 21220221211002 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 419 486 594 838 891 1257 1782 2514 2673 3771 4609 5346 7542 9218 11313 13827 22626 27654 33939 41481 67878 82962 101817 124443 203634 248886 373329 746658 1119987 2239974 9473423 18946846 28420269 56840538 85260807 104207653 170521614 208415306 255782421 312622959 511564842 625245918 767347263 937868877 1534694526 1875737754 2302041789 2813606631 3969364237 4604083578 5627213262 7938728474 8440819893 11908092711 16881639786 23816185422 25322459679 35724278133 43663006607 50644919358 71448556266 87326013214 107172834399 130989019821 214345668798 261978039642 321518503197 392967059463 643037006394 785934118926 964555509591 1178901178389 1929111019182 2357802356778 3536703535167 7073407070334 10610110605501 21220221211002