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212010120010 = 251317157611033
BaseRepresentation
bin1100010101110011001…
…0011011001101001010
3202021020100102222220001
43011130302123031022
511433144042320020
6241221320353214
721213544200103
oct3053462331512
9667210388801
10212010120010
1181a05205117
123510991580a
1316cb95b8070
14a3931b53aa
1557aca4350a
hex315cc9b34a

212010120010 has 64 divisors (see below), whose sum is σ = 437920735392. Its totient is φ = 73206521856.

The previous prime is 212010119833. The next prime is 212010120121. The reversal of 212010120010 is 10021010212.

212010120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 14604964201 + 197405155809 = 120851^2 + 444303^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41454 + ... + 652486.

Almost surely, 2212010120010 is an apocalyptic number.

212010120010 is an abundant number, since it is smaller than the sum of its proper divisors (225910615382).

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

212010120010 is a wasteful number, since it uses less digits than its factorization.

212010120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611227.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212010120010 its reverse (10021010212), we get a palindrome (222031130222).

The spelling of 212010120010 in words is "two hundred twelve billion, ten million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 157 170 221 314 442 785 1105 1570 2041 2210 2669 4082 5338 10205 13345 20410 26690 34697 69394 173485 346970 611033 1222066 3055165 6110330 7943429 10387561 15886858 20775122 39717145 51937805 79434290 95932181 103875610 135038293 191864362 270076586 479660905 675191465 959321810 1247118353 1350382930 1630847077 2494236706 3261694154 6235591765 8154235385 12471183530 16308470770 21201012001 42402024002 106005060005 212010120010