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22021001210000 = 245413169392317
BaseRepresentation
bin1010000000111001010011…
…11101000110100010010000
32212222012001102210100210102
411000130221331012202100
510341243002302210000
6114500150331551532
74431651636614312
oct500345175064220
985865042710712
1022021001210000
117020066107821
1225779988bb5a8
13c39757794890
14561b71d777b2
15282c3b94e3d5
hex140729f46890

22021001210000 has 100 divisors (see below), whose sum is σ = 57416203755372. Its totient is φ = 8130831168000.

The previous prime is 22021001209997. The next prime is 22021001210009. The reversal of 22021001210000 is 1210012022.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 17294586072976 + 4726415137024 = 4158676^2 + 2174032^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (22021001210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84566159 + ... + 84826158.

Almost surely, 222021001210000 is an apocalyptic number.

22021001210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021001210000 is an abundant number, since it is smaller than the sum of its proper divisors (35395202545372).

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

22021001210000 is a wasteful number, since it uses less digits than its factorization.

22021001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169392358 (or 169392337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22021001210000 its reverse (1210012022), we get a palindrome (22022211222022).

The spelling of 22021001210000 in words is "twenty-two trillion, twenty-one billion, one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 169392317 338784634 677569268 846961585 1355138536 1693923170 2202100121 2710277072 3387846340 4234807925 4404200242 6775692680 8469615850 8808400484 11010500605 13551385360 16939231700 17616800968 21174039625 22021001210 33878463400 35233601936 42348079250 44042002420 55052503025 67756926800 84696158500 88084004840 105870198125 110105006050 169392317000 176168009680 211740396250 220210012100 275262515125 338784634000 423480792500 440420024200 550525030250 846961585000 880840048400 1101050060500 1376312575625 1693923170000 2202100121000 2752625151250 4404200242000 5505250302500 11010500605000 22021001210000