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21363233236312 = 23111928974410443
BaseRepresentation
bin1001101101110000000111…
…11011011010010101011000
32210122022020110022012001011
410312320003323122111120
510300003400202030222
6113234044525303304
74333304556236032
oct466700373322530
983568213265034
1021363233236312
116897107250610
122490407704b34
13bbc70c942c26
1453bdb3856c52
15270a902c4c77
hex136e03eda558

21363233236312 has 64 divisors (see below), whose sum is σ = 46013280163200. Its totient is φ = 9196300823040.

The previous prime is 21363233236309. The next prime is 21363233236381.

21363233236312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213632332363122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2638563 + ... + 7049005.

It is an arithmetic number, because the mean of its divisors is an integer number (718957502550).

Almost surely, 221363233236312 is an apocalyptic number.

21363233236312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21363233236312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006640081600).

21363233236312 is an abundant number, since it is smaller than the sum of its proper divisors (24650046926888).

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

21363233236312 is a wasteful number, since it uses less digits than its factorization.

21363233236312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413376 (or 4413372 counting only the distinct ones).

The product of its digits is 419904, while the sum is 40.

The spelling of 21363233236312 in words is "twenty-one trillion, three hundred sixty-three billion, two hundred thirty-three million, two hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 2897 5794 11588 23176 31867 55043 63734 110086 127468 220172 254936 440344 605473 1210946 2421892 4410443 4843784 8820886 17641772 35283544 48514873 83798417 97029746 167596834 194059492 335193668 388118984 670387336 921782587 1843565174 3687130348 7374260696 12777053371 25554106742 51108213484 102216426968 140547587081 242764014049 281095174162 485528028098 562190348324 971056056196 1124380696648 1942112112392 2670404154539 5340808309078 10681616618156 21363233236312