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21440002020 = 22355333120369
BaseRepresentation
bin10011111101111011…
…000111011111100100
32001100012010221122220
4103331323013133210
5322402120031040
613503245352340
71356206003343
oct237573073744
961305127586
1021440002020
11910235a938
1241a42686b0
132038b20b38
14107564bb5a
158573b32d0
hex4fdec77e4

21440002020 has 96 divisors (see below), whose sum is σ = 61352484480. Its totient is φ = 5592238080.

The previous prime is 21440002009. The next prime is 21440002099. The reversal of 21440002020 is 2020004412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042396 + ... + 1062764.

It is an arithmetic number, because the mean of its divisors is an integer number (639088380).

Almost surely, 221440002020 is an apocalyptic number.

21440002020 is a gapful number since it is divisible by the number (20) 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 21440002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30676242240).

21440002020 is an abundant number, since it is smaller than the sum of its proper divisors (39912482460).

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

21440002020 is a wasteful number, since it uses less digits than its factorization.

21440002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20765 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21440002020 its reverse (2020004412), we get a palindrome (23460006432).

The spelling of 21440002020 in words is "twenty-one billion, four hundred forty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 331 530 636 662 795 993 1060 1324 1590 1655 1986 3180 3310 3972 4965 6620 9930 17543 19860 20369 35086 40738 52629 61107 70172 81476 87715 101845 105258 122214 175430 203690 210516 244428 263145 305535 350860 407380 526290 611070 1052580 1079557 1222140 2159114 3238671 4318228 5397785 6477342 6742139 10795570 12954684 13484278 16193355 20226417 21591140 26968556 32386710 33710695 40452834 64773420 67421390 80905668 101132085 134842780 202264170 357333367 404528340 714666734 1072000101 1429333468 1786666835 2144000202 3573333670 4288000404 5360000505 7146667340 10720001010 21440002020