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21022221012 = 223131743318307
BaseRepresentation
bin10011100101000001…
…011010001011010100
32000021002000110212020
4103211001122023110
5321023142033022
613354003053140
71342643634042
oct234501321324
960232013766
1021022221012
118a0854a881
1240a83711b0
131ca03c5140
141035d79392
1583088b35c
hex4e505a2d4

21022221012 has 96 divisors (see below), whose sum is σ = 56064661632. Its totient is φ = 6073491456.

The previous prime is 21022220983. The next prime is 21022221013. The reversal of 21022221012 is 21012222012.

It is a junction number, because it is equal to n+sod(n) for n = 21022220982 and 21022221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022221013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139163 + ... + 1157469.

It is an arithmetic number, because the mean of its divisors is an integer number (584006892).

Almost surely, 221022221012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28032330816).

21022221012 is an abundant number, since it is smaller than the sum of its proper divisors (35042440620).

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

21022221012 is a wasteful number, since it uses less digits than its factorization.

21022221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18777 (or 18775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21022221012 its reverse (21012222012), we get a palindrome (42034443024).

The spelling of 21022221012 in words is "twenty-one billion, twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 433 442 663 866 884 1299 1326 1732 2598 2652 5196 5629 7361 11258 14722 16887 18307 22083 22516 29444 33774 36614 44166 54921 67548 73228 88332 95693 109842 191386 219684 237991 287079 311219 382772 475982 574158 622438 713973 933657 951964 1148316 1244876 1427946 1867314 2855892 3734628 4045847 7926931 8091694 12137541 15853862 16183388 23780793 24275082 31707724 47561586 48550164 95123172 103050103 134757827 206100206 269515654 309150309 404273481 412200412 539031308 618300618 808546962 1236601236 1617093924 1751851751 3503703502 5255555253 7007407004 10511110506 21022221012