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21332242232320 = 210537112606853
BaseRepresentation
bin1001101100110110011001…
…01110000111010000000000
32210112100020122021001202111
410312123030232013100000
510244001413002413240
6113211521412425104
74331126564114515
oct466331456072000
983470218231674
1021332242232320
116884a53678618
1224863b8918194
13bb9811170546
1453a6b396330c
1526ed796951ea
hex1366ccb87400

21332242232320 has 88 divisors (see below), whose sum is σ = 52555420471464. Its totient is φ = 8302277984256.

The previous prime is 21332242232291. The next prime is 21332242232351. The reversal of 21332242232320 is 2323224223312.

It can be written as a sum of positive squares in 4 ways, for example, as 10244301251584 + 11087940980736 = 3200672^2 + 3329856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56113987 + ... + 56492866.

Almost surely, 221332242232320 is an apocalyptic number.

21332242232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332242232320 is an abundant number, since it is smaller than the sum of its proper divisors (31223178239144).

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

21332242232320 is a wasteful number, since it uses less digits than its factorization.

21332242232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112606915 (or 112606897 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 21332242232320 its reverse (2323224223312), we get a palindrome (23655466455632).

The spelling of 21332242232320 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred forty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2368 2560 2960 4736 5120 5920 9472 11840 18944 23680 37888 47360 94720 189440 112606853 225213706 450427412 563034265 900854824 1126068530 1801709648 2252137060 3603419296 4166453561 4504274120 7206838592 8332907122 9008548240 14413677184 16665814244 18017096480 20832267805 28827354368 33331628488 36034192960 41664535610 57654708736 66663256976 72068385920 83329071220 115309417472 133326513952 144136771840 166658142440 266653027904 288273543680 333316284880 533306055808 576547087360 666632569760 1066612111616 1333265139520 2133224223232 2666530279040 4266448446464 5333060558080 10666121116160 21332242232320