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21220312320 = 283251842041
BaseRepresentation
bin10011110000110101…
…000100010100000000
32000202212202120001100
4103300311010110000
5321424344443240
613425400534400
71350600451524
oct236065042400
960685676040
1021220312320
118aaa3497a9
124142781400
13200246172c
1410543c1d84
15842e69e30
hex4f0d44500

21220312320 has 108 divisors (see below), whose sum is σ = 73420110036. Its totient is φ = 5658746880.

The previous prime is 21220312319. The next prime is 21220312343. The reversal of 21220312320 is 2321302212.

21220312320 is a `hidden beast` number, since 2 + 12 + 20 + 312 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2387690496 + 18832621824 = 48864^2 + 137232^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21220312293 and 21220312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909501 + ... + 932540.

Almost surely, 221220312320 is an apocalyptic number.

21220312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220312320 is an abundant number, since it is smaller than the sum of its proper divisors (52199797716).

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

21220312320 is a wasteful number, since it uses less digits than its factorization.

21220312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842068 (or 1842051 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220312320 its reverse (2321302212), we get a palindrome (23541614532).

The spelling of 21220312320 in words is "twenty-one billion, two hundred twenty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1842041 3684082 5526123 7368164 9210205 11052246 14736328 16578369 18420410 22104492 27630615 29472656 33156738 36840820 44208984 55261230 58945312 66313476 73681640 82891845 88417968 110522460 117890624 132626952 147363280 165783690 176835936 221044920 235781248 265253904 294726560 331567380 353671872 442089840 471562496 530507808 589453120 663134760 707343744 884179680 1061015616 1178906240 1326269520 1414687488 1768359360 2122031232 2357812480 2652539040 3536718720 4244062464 5305078080 7073437440 10610156160 21220312320