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21300002022 = 23131918797649
BaseRepresentation
bin10011110101100101…
…000011110011100110
32000222102201012202210
4103311211003303212
5322110300031042
613441324544250
71352556013155
oct236545036346
960872635683
1021300002022
119040328862
1241653b2086
132015b137c0
141060c0759c
15849e5ba9c
hex4f5943ce6

21300002022 has 64 divisors (see below), whose sum is σ = 48323520000. Its totient is φ = 6204791808.

The previous prime is 21300001993. The next prime is 21300002029. The reversal of 21300002022 is 22020000312.

It is a super-2 number, since 2×213000020222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21300001989 and 21300002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300002029) 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, 2780854 + ... + 2788502.

It is an arithmetic number, because the mean of its divisors is an integer number (755055000).

Almost surely, 221300002022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24161760000).

21300002022 is an abundant number, since it is smaller than the sum of its proper divisors (27023517978).

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

21300002022 is a wasteful number, since it uses less digits than its factorization.

21300002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 21300002022 its reverse (22020000312), we get a palindrome (43320002334).

The spelling of 21300002022 in words is "twenty-one billion, three hundred million, two thousand, twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1879 3758 5637 7649 11274 15298 22947 24427 35701 45894 48854 71402 73281 99437 107103 145331 146562 198874 214206 290662 298311 435993 464113 596622 871986 928226 1392339 1889303 2784678 3778606 5667909 11335818 14372471 28744942 43117413 86234826 186842123 273076949 373684246 546153898 560526369 819230847 1121052738 1638461694 3550000337 7100000674 10650001011 21300002022