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21322102211120 = 245644941328311
BaseRepresentation
bin1001101100100011100000…
…10101000000001000110000
32210111101001222000121122202
410312101300111000020300
510243320131131223440
6113203123304522332
74330320366263504
oct466216025001060
983441058017582
1021322102211120
11688071a917607
122484448a803a8
13bb88864691b9
14539dd0d92304
1526e984379615
hex136470540230

21322102211120 has 40 divisors (see below), whose sum is σ = 49581575906400. Its totient is φ = 8527518172160.

The previous prime is 21322102211107. The next prime is 21322102211141. The reversal of 21322102211120 is 2111220122312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21322102211092 and 21322102211101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20148236 + ... + 21180075.

It is an arithmetic number, because the mean of its divisors is an integer number (1239539397660).

Almost surely, 221322102211120 is an apocalyptic number.

21322102211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322102211120 is an abundant number, since it is smaller than the sum of its proper divisors (28259473695280).

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

21322102211120 is a wasteful number, since it uses less digits than its factorization.

21322102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41334773 (or 41334767 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21322102211120 its reverse (2111220122312), we get a palindrome (23433322333432).

The spelling of 21322102211120 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6449 12898 25796 32245 51592 64490 103184 128980 257960 515920 41328311 82656622 165313244 206641555 330626488 413283110 661252976 826566220 1653132440 3306264880 266526277639 533052555278 1066105110556 1332631388195 2132210221112 2665262776390 4264420442224 5330525552780 10661051105560 21322102211120