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212420312034020 = 22591573302935117
BaseRepresentation
bin110000010011000111110101…
…001111011110101011100100
31000212010011221202221202210222
4300103013311033132223210
5210320243244340042040
62031440313313103512
762512601232555236
oct6023076517365344
91025104852852728
10212420312034020
1161757a483a2322
121b9a8590857b98
13916b1c3516b2c
143a652ab2b4256
151985816c0dbb5
hexc131f53deae4

212420312034020 has 48 divisors (see below), whose sum is σ = 446157581995440. Its totient is φ = 84953854293504.

The previous prime is 212420312033953. The next prime is 212420312034041. The reversal of 212420312034020 is 20430213024212.

It can be written as a sum of positive squares in 8 ways, for example, as 158032253503744 + 54388058530276 = 12571088^2 + 7374826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6048913502 + ... + 6048948618.

It is an arithmetic number, because the mean of its divisors is an integer number (9294949624905).

Almost surely, 2212420312034020 is an apocalyptic number.

212420312034020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212420312034020 is an abundant number, since it is smaller than the sum of its proper divisors (233737269961420).

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

212420312034020 is a wasteful number, since it uses less digits than its factorization.

212420312034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77312 (or 77310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212420312034020 its reverse (20430213024212), we get a palindrome (232850525058232).

The spelling of 212420312034020 in words is "two hundred twelve trillion, four hundred twenty billion, three hundred twelve million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 9157 18314 33029 35117 36628 45785 66058 70234 91570 132116 140468 165145 175585 183140 330290 351170 660580 702340 302446553 321566369 604893106 643132738 1159879393 1209786212 1286265476 1512232765 1607831845 2319758786 3024465530 3215663690 4639517572 5799396965 6048931060 6431327380 11598793930 23197587860 10621015601701 21242031203402 42484062406804 53105078008505 106210156017010 212420312034020