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21002222120022 = 232111362819129887
BaseRepresentation
bin1001100011001111101011…
…11111010010110001010110
32202100210101222012022202100
410301213311333102301112
510223100022330320042
6112400142044222530
74265234433335643
oct461476577226126
982323358168670
1021002222120022
116767aa0950660
12243245583aa46
13b94668a572a0
1452872785cdca
152664b173824c
hex1319f5fd2c56

21002222120022 has 96 divisors (see below), whose sum is σ = 53461464376320. Its totient is φ = 5874608698560.

The previous prime is 21002222119987. The next prime is 21002222120051. The reversal of 21002222120022 is 22002122220012.

21002222120022 is a `hidden beast` number, since 210 + 0 + 222 + 212 + 0 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21002222119977 and 21002222120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161631163 + ... + 161761049.

It is an arithmetic number, because the mean of its divisors is an integer number (556890253920).

Almost surely, 221002222120022 is an apocalyptic number.

21002222120022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21002222120022 is an abundant number, since it is smaller than the sum of its proper divisors (32459242256298).

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

21002222120022 is a wasteful number, since it uses less digits than its factorization.

21002222120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192738 (or 192735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21002222120022 its reverse (22002122220012), we get a palindrome (43004344340034).

The spelling of 21002222120022 in words is "twenty-one trillion, two billion, two hundred twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 62819 125638 129887 188457 259774 376914 389661 565371 691009 779322 816647 1130742 1168983 1382018 1428757 1633294 1688531 2073027 2337966 2449941 2857514 3377062 4146054 4286271 4899882 5065593 6219081 7349823 8572542 8983117 10131186 12438162 12858813 14699646 15196779 17966234 18573841 25717626 26949351 30393558 37147682 53898702 55721523 80848053 111443046 161696106 167164569 334329138 8159371453 16318742906 24478114359 48956228718 73434343077 89753085983 106071828889 146868686154 179506171966 212143657778 269259257949 318215486667 538518515898 636430973334 807777773847 954646460001 1166790117779 1615555547694 1909292920002 2333580235558 3500370353337 7000740706674 10501111060011 21002222120022