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22421040411 = 37114783139179
BaseRepresentation
bin10100111000011001…
…011110110100011011
32010212120010212100010
4110320121132310123
5331404241243121
614144452413003
71422420461520
oct247031366433
963776125303
1022421040411
119566102570
124418917163
13216414c423
141129a61147
158b359b376
hex53865ed1b

22421040411 has 128 divisors (see below), whose sum is σ = 39016857600. Its totient is φ = 11118648960.

The previous prime is 22421040407. The next prime is 22421040437. The reversal of 22421040411 is 11404012422.

It is not a de Polignac number, because 22421040411 - 22 = 22421040407 is a prime.

It is a super-2 number, since 2×224210404112 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22421040451) 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 127 ways as a sum of consecutive naturals, for example, 125257120 + ... + 125257298.

It is an arithmetic number, because the mean of its divisors is an integer number (304819200).

Almost surely, 222421040411 is an apocalyptic number.

22421040411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22421040411 is a deficient number, since it is larger than the sum of its proper divisors (16595817189).

22421040411 is a wasteful number, since it uses less digits than its factorization.

22421040411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22421040411 its reverse (11404012422), we get a palindrome (33825052833).

The spelling of 22421040411 in words is "twenty-two billion, four hundred twenty-one million, forty thousand, four hundred eleven".

Divisors: 1 3 7 11 21 33 47 77 83 139 141 179 231 249 329 417 517 537 581 913 973 987 1253 1529 1551 1743 1969 2739 2919 3619 3759 3901 4587 5907 6391 6533 8413 10703 10857 11537 11703 13783 14857 19173 19599 24881 25239 27307 32109 34611 41349 42911 44571 45731 58891 71863 74643 80759 81921 92543 103999 126907 128733 137193 163427 174167 176673 215589 242277 273691 277629 300377 311997 380721 490281 503041 522501 542239 647801 698279 821073 888349 901131 1143989 1169407 1509123 1626717 1915837 1943403 2065123 2094837 2665047 3431967 3508221 3795673 4887953 5747511 5964629 6195369 7681069 8185849 11387019 12863477 14455861 14663859 17893887 22716353 23043207 24557547 38590431 41752403 43367583 53767483 68149059 90044339 97060781 125257209 159014471 161302449 270133017 291182343 477043413 679425467 1067668591 2038276401 3203005773 7473680137 22421040411