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21144131310 = 2351783499507
BaseRepresentation
bin10011101100010010…
…011101011011101110
32000120120102011100110
4103230102131123232
5321300344200220
613414040040450
71345654102461
oct235422353356
960516364313
1021144131310
118a70346895
124121163126
131cbc73a703
1410482312d8
1583b41cbe0
hex4ec49d6ee

21144131310 has 64 divisors (see below), whose sum is σ = 54378438912. Its totient is φ = 5242814976.

The previous prime is 21144131299. The next prime is 21144131341. The reversal of 21144131310 is 1313144112.

It is a super-2 number, since 2×211441313102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207424 + ... + 292083.

It is an arithmetic number, because the mean of its divisors is an integer number (849663108).

Almost surely, 221144131310 is an apocalyptic number.

21144131310 is an abundant number, since it is smaller than the sum of its proper divisors (33234307602).

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

21144131310 is a wasteful number, since it uses less digits than its factorization.

21144131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499617.

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

Adding to 21144131310 its reverse (1313144112), we get a palindrome (22457275422).

The spelling of 21144131310 in words is "twenty-one billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 1245 1411 2490 2822 4233 7055 8466 14110 21165 42330 499507 999014 1498521 2497535 2997042 4995070 7492605 8491619 14985210 16983238 25474857 41459081 42458095 50949714 82918162 84916190 124377243 127374285 207295405 248754486 254748570 414590810 621886215 704804377 1243772430 1409608754 2114413131 3524021885 4228826262 7048043770 10572065655 21144131310