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21310440012 = 223667310859
BaseRepresentation
bin10011110110001100…
…111000001001001100
32001000011100112000000
4103312030320021030
5322120433040022
613442340404300
71353043515501
oct236614701114
961004315000
1021310440012
119046207aa4
1241689a6690
132018029824
1410623634a8
1584ad1e6ac
hex4f633824c

21310440012 has 84 divisors (see below), whose sum is σ = 56002565640. Its totient is φ = 7092271872.

The previous prime is 21310440001. The next prime is 21310440013. The reversal of 21310440012 is 21004401312.

21310440012 is a `hidden beast` number, since 213 + 1 + 0 + 440 + 0 + 12 = 666.

It is a super-3 number, since 3×213104400123 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310440013) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1957039 + ... + 1967897.

It is an arithmetic number, because the mean of its divisors is an integer number (666697210).

Almost surely, 221310440012 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 21310440012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28001282820).

21310440012 is an abundant number, since it is smaller than the sum of its proper divisors (34692125628).

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

21310440012 is a wasteful number, since it uses less digits than its factorization.

21310440012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21310440012 its reverse (21004401312), we get a palindrome (42314841324).

It can be divided in two parts, 213104 and 40012, that added together give a triangular number (253116 = T711).

The spelling of 21310440012 in words is "twenty-one billion, three hundred ten million, four hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 673 729 972 1346 1458 2019 2692 2916 4038 6057 8076 10859 12114 18171 21718 24228 32577 36342 43436 54513 65154 72684 97731 109026 130308 163539 195462 218052 293193 327078 390924 490617 586386 654156 879579 981234 1172772 1759158 1962468 2638737 3518316 5277474 7308107 7916211 10554948 14616214 15832422 21924321 29232428 31664844 43848642 65772963 87697284 131545926 197318889 263091852 394637778 591956667 789275556 1183913334 1775870001 2367826668 3551740002 5327610003 7103480004 10655220006 21310440012