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21020130012 = 223717127711527
BaseRepresentation
bin10011100100111001…
…011011101011011100
32000020221002020112210
4103210321123223130
5321022123130022
613353450200420
71342620104610
oct234471335334
960227066483
1021020130012
118a07351882
1240a7723110
131c9cb4246b
141035993340
158305c6a0c
hex4e4e5badc

21020130012 has 96 divisors (see below), whose sum is σ = 59402585088. Its totient is φ = 5647555584.

The previous prime is 21020130011. The next prime is 21020130013. The reversal of 21020130012 is 21003102012.

It is an interprime number because it is at equal distance from previous prime (21020130011) and next prime (21020130013).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21020130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020130011) 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, 1817793 + ... + 1829319.

It is an arithmetic number, because the mean of its divisors is an integer number (618776928).

Almost surely, 221020130012 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 21020130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29701292544).

21020130012 is an abundant number, since it is smaller than the sum of its proper divisors (38382455076).

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

21020130012 is a wasteful number, since it uses less digits than its factorization.

21020130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21020130012 its reverse (21003102012), we get a palindrome (42023232024).

The spelling of 21020130012 in words is "twenty-one billion, twenty million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1277 1428 2554 3831 5108 7662 8939 11527 15324 17878 21709 23054 26817 34581 35756 43418 46108 53634 65127 69162 80689 86836 107268 130254 138324 151963 161378 195959 242067 260508 303926 322756 391918 455889 484134 587877 607852 783836 911778 968268 1175754 1371713 1823556 2351508 2743426 4115139 5486852 8230278 14719979 16460556 29439958 44159937 58879916 88319874 103039853 176639748 206079706 250239643 309119559 412159412 500479286 618239118 750718929 1000958572 1236478236 1501437858 1751677501 3002875716 3503355002 5255032503 7006710004 10510065006 21020130012