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21311430114 = 23132315497669
BaseRepresentation
bin10011110110010000…
…101001110111100010
32001000020012211011110
4103312100221313202
5322121211230424
613442413524150
71353055111212
oct236620516742
961006184143
1021311430114
119046823967
1241691a3656
1320182b53a0
141062540242
1584ae67c29
hex4f6429de2

21311430114 has 64 divisors (see below), whose sum is σ = 47934432000. Its totient is φ = 6267393792.

The previous prime is 21311430113. The next prime is 21311430143. The reversal of 21311430114 is 41103411312.

It is a super-3 number, since 3×213114301143 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21311430113) 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, 2775072 + ... + 2782740.

It is an arithmetic number, because the mean of its divisors is an integer number (748975500).

Almost surely, 221311430114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311430114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23967216000).

21311430114 is an abundant number, since it is smaller than the sum of its proper divisors (26623001886).

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

21311430114 is a wasteful number, since it uses less digits than its factorization.

21311430114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21311430114 its reverse (41103411312), we get a palindrome (62414841426).

The spelling of 21311430114 in words is "twenty-one billion, three hundred eleven million, four hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1549 1794 3098 4647 7669 9294 15338 20137 23007 35627 40274 46014 60411 71254 99697 106881 120822 176387 199394 213762 299091 352774 463151 529161 598182 926302 1058322 1389453 2293031 2778906 4586062 6879093 11879281 13758186 23758562 35637843 71275686 154430653 273223463 308861306 463291959 546446926 819670389 926583918 1639340778 3551905019 7103810038 10655715057 21311430114