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21011220984 = 233131911932971
BaseRepresentation
bin10011100100010111…
…011100100111111000
32000020022022121122210
4103210113130213320
5321012333032414
613352531215120
71342451301015
oct234427344770
960208277583
1021011220984
118a02317346
1240a47474a0
131c9b043350
14103471470c
1582e916e59
hex4e45dc9f8

21011220984 has 128 divisors (see below), whose sum is σ = 59615942400. Its totient is φ = 6117534720.

The previous prime is 21011220983. The next prime is 21011221019. The reversal of 21011220984 is 48902211012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011220983) 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 31 ways as a sum of consecutive naturals, for example, 7070619 + ... + 7073589.

It is an arithmetic number, because the mean of its divisors is an integer number (465749550).

Almost surely, 221011220984 is an apocalyptic number.

21011220984 is a gapful number since it is divisible by the number (24) 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 21011220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29807971200).

21011220984 is an abundant number, since it is smaller than the sum of its proper divisors (38604721416).

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

21011220984 is a wasteful number, since it uses less digits than its factorization.

21011220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 21011220984 its reverse (48902211012), we get a palindrome (69913431996).

The spelling of 21011220984 in words is "twenty-one billion, eleven million, two hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1193 1482 1976 2386 2964 2971 3579 4772 5928 5942 7158 8913 9544 11884 14316 15509 17826 22667 23768 28632 31018 35652 38623 45334 46527 56449 62036 68001 71304 77246 90668 93054 112898 115869 124072 136002 154492 169347 181336 186108 225796 231738 272004 294671 308984 338694 372216 451592 463476 544008 589342 677388 733837 884013 926952 1178684 1354776 1467674 1768026 2201511 2357368 2935348 3536052 3544403 4403022 5870696 7072104 7088806 8806044 10633209 14177612 17612088 21266418 28355224 42532836 46077239 67343657 85065672 92154478 134687314 138231717 184308956 202030971 269374628 276463434 368617912 404061942 538749256 552926868 808123884 875467541 1105853736 1616247768 1750935082 2626402623 3501870164 5252805246 7003740328 10505610492 21011220984