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21322223042320 = 24567599211087
BaseRepresentation
bin1001101100100011101111…
…00001111011111100010000
32210111101101101101110220101
410312101313201323330100
510243320403044323240
6113203143302422144
74330323364316164
oct466216741737420
983441341343811
1021322223042320
116880782046902
122484481431954
13bb88a54c4555
1453a003046ca4
1526e98ec9639a
hex13647787bf10

21322223042320 has 120 divisors (see below), whose sum is σ = 50402764266624. Its totient is φ = 8386809809664.

The previous prime is 21322223042287. The next prime is 21322223042327. The reversal of 21322223042320 is 2324032222312.

It is not an unprimeable number, because it can be changed into a prime (21322223042327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923167817 + ... + 1923178903.

Almost surely, 221322223042320 is an apocalyptic number.

21322223042320 is a gapful number since it is divisible by the number (20) 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 21322223042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201382133312).

21322223042320 is an abundant number, since it is smaller than the sum of its proper divisors (29080541224304).

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

21322223042320 is an equidigital number, since it uses as much as digits as its factorization.

21322223042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 21322223042320 its reverse (2324032222312), we get a palindrome (23646255264632).

The spelling of 21322223042320 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred twenty-three million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 599 670 1072 1198 1340 2396 2680 2995 4792 5360 5990 9584 11087 11980 22174 23960 40133 44348 47920 55435 80266 88696 110870 160532 177392 200665 221740 321064 358801 401330 443480 642128 717602 742829 802660 886960 1435204 1485658 1605320 1794005 2870408 2971316 3210640 3588010 3714145 5740816 5942632 6641113 7176020 7428290 11885264 13282226 14352040 14856580 24039667 26564452 28704080 29713160 33205565 48079334 53128904 59426320 66411130 96158668 106257808 120198335 132822260 192317336 240396670 265644520 384634672 444954571 480793340 531289040 889909142 961586680 1779818284 1923173360 2224772855 3559636568 3978026687 4449545710 7119273136 7956053374 8899091420 15912106748 17798182840 19890133435 31824213496 35596365680 39780266870 63648426992 79560533740 159121067480 266527788029 318242134960 533055576058 1066111152116 1332638940145 2132222304232 2665277880290 4264444608464 5330555760580 10661111521160 21322223042320