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21011311323414 = 2331922861895799
BaseRepresentation
bin1001100011100000100111…
…01111110110100100010110
32202101122212102010200211000
410301300103233312210112
510223222131144322124
6112404244013324130
74266005611314126
oct461602357664426
982348772120730
1021011311323414
1167709355296a5
122434171796646
13b95486b3aa49
14528d4aa54c86
152668446856c9
hex131c13bf6916

21011311323414 has 64 divisors (see below), whose sum is σ = 49151471040000. Its totient is φ = 6634853298720.

The previous prime is 21011311323403. The next prime is 21011311323419. The reversal of 21011311323414 is 41432311311012.

21011311323414 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 1 + 311 + 3 + 2 + 341 + 4 = 666.

It is a super-2 number, since 2×210113113234142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011311323419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23007487 + ... + 23903285.

It is an arithmetic number, because the mean of its divisors is an integer number (767991735000).

Almost surely, 221011311323414 is an apocalyptic number.

21011311323414 is an abundant number, since it is smaller than the sum of its proper divisors (28140159716586).

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

21011311323414 is a wasteful number, since it uses less digits than its factorization.

21011311323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918690 (or 918684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21011311323414 its reverse (41432311311012), we get a palindrome (62443622634426).

The spelling of 21011311323414 in words is "twenty-one trillion, eleven billion, three hundred eleven million, three hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 22861 45722 68583 137166 205749 411498 434359 617247 868718 895799 1234494 1303077 1791598 2606154 2687397 3909231 5374794 7818462 8062191 11727693 16124382 17020181 23455386 24186573 34040362 48373146 51060543 102121086 153181629 306363258 459544887 919089774 20478860939 40957721878 61436582817 122873165634 184309748451 368619496902 389098357841 552929245353 778196715682 1105858490706 1167295073523 2334590147046 3501885220569 7003770441138 10505655661707 21011311323414