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21131144340 = 2235352185739
BaseRepresentation
bin10011101011100000…
…111010110010010100
32000112122222100120120
4103223200322302110
5321234033104330
613412453431540
71345435522545
oct235340726224
960478870516
1021131144340
118a63a86559
12411893b5b0
131cb9b41407
1410466104cc
1583a204c10
hex4eb83ac94

21131144340 has 24 divisors (see below), whose sum is σ = 59167204320. Its totient is φ = 5634971808.

The previous prime is 21131144311. The next prime is 21131144341. The reversal of 21131144340 is 4344113112.

It is a super-2 number, since 2×211311443402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21131144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176092810 + ... + 176092929.

It is an arithmetic number, because the mean of its divisors is an integer number (2465300180).

Almost surely, 221131144340 is an apocalyptic number.

21131144340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131144340 is an abundant number, since it is smaller than the sum of its proper divisors (38036059980).

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

21131144340 is a wasteful number, since it uses less digits than its factorization.

21131144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352185751 (or 352185749 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21131144340 its reverse (4344113112), we get a palindrome (25475257452).

The spelling of 21131144340 in words is "twenty-one billion, one hundred thirty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 352185739 704371478 1056557217 1408742956 1760928695 2113114434 3521857390 4226228868 5282786085 7043714780 10565572170 21131144340