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20002212212010 = 2357240273378929
BaseRepresentation
bin1001000110001001000001…
…10000001110110100101010
32121211012012120010112000220
410203010200300032310222
510110204012311241020
6110312520041310510
74133053315352400
oct443044060166452
977735176115026
1020002212212010
116411988378726
1222b0690495436
13b2127b6cca22
144d217dd97470
1524a4841b6240
hex123120c0ed2a

20002212212010 has 96 divisors (see below), whose sum is σ = 55856794484160. Its totient is φ = 4570797547008.

The previous prime is 20002212211991. The next prime is 20002212212011. The reversal of 20002212212010 is 1021221220002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20002212212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4230226 + ... + 7609154.

It is an arithmetic number, because the mean of its divisors is an integer number (581841609210).

Almost surely, 220002212212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002212212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27928397242080).

20002212212010 is an abundant number, since it is smaller than the sum of its proper divisors (35854582272150).

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

20002212212010 is a wasteful number, since it uses less digits than its factorization.

20002212212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382980 (or 3382973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002212212010 its reverse (1021221220002), we get a palindrome (21023433432012).

The spelling of 20002212212010 in words is "twenty trillion, two billion, two hundred twelve million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 4027 8054 12081 20135 24162 28189 40270 56378 60405 84567 120810 140945 169134 197323 281890 394646 422835 591969 845670 986615 1183938 1973230 2959845 3378929 5919690 6757858 10136787 16894645 20273574 23652503 33789290 47305006 50683935 70957509 101367870 118262515 141915018 165567521 236525030 331135042 354787545 496702563 709575090 827837605 993405126 1655675210 2483512815 4967025630 13606947083 27213894166 40820841249 68034735415 81641682498 95248629581 136069470830 190497259162 204104206245 285745888743 408208412490 476243147905 571491777486 666740407067 952486295810 1333480814134 1428729443715 2000221221201 2857458887430 3333702035335 4000442442402 6667404070670 10001106106005 20002212212010