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21011010111012 = 22317675281291089
BaseRepresentation
bin1001100011100000000011…
…10010110100011000100100
32202101122002102100112002010
410301300001302310120210
510223221022042023022
6112404154053314220
74265665263124635
oct461600162643044
982348072315063
1021011010111012
1167707a04a7329
1224340a8935970
13b9543960715c
14528d1ca4788c
15266827ed750c
hex131c01cb4624

21011010111012 has 96 divisors (see below), whose sum is σ = 52694481087360. Its totient is φ = 6492054159360.

The previous prime is 21011010111011. The next prime is 21011010111023. The reversal of 21011010111012 is 21011101011012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21011010111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72035164 + ... + 72326252.

It is an arithmetic number, because the mean of its divisors is an integer number (548900844660).

Almost surely, 221011010111012 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 21011010111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26347240543680).

21011010111012 is an abundant number, since it is smaller than the sum of its proper divisors (31683470976348).

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

21011010111012 is a wasteful number, since it uses less digits than its factorization.

21011010111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296461 (or 296459 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21011010111012 its reverse (21011101011012), we get a palindrome (42022111122024).

The spelling of 21011010111012 in words is "twenty-one trillion, eleven billion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 5281 6834 10562 13668 15843 21124 31686 63372 89777 179554 269331 291089 353827 359108 538662 582178 707654 873267 1061481 1077324 1164356 1415308 1746534 2122962 3493068 4245924 4948513 6015059 9897026 12030118 14845539 18045177 19502963 19794052 24060236 29691078 36090354 39005926 58508889 59382156 72180708 78011852 117017778 234035556 331550371 663100742 994651113 1326201484 1537241009 1989302226 3074482018 3978604452 4611723027 6148964036 9223446054 18446892108 26133097153 52266194306 78399291459 102995147603 104532388612 156798582918 205990295206 308985442809 313597165836 411980590412 617970885618 1235941771236 1750917509251 3501835018502 5252752527753 7003670037004 10505505055506 21011010111012