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212002001020 = 225167211300823
BaseRepresentation
bin1100010101110001001…
…1011101000001111100
3202021012210011111201201
43011130103131001330
511433140003013040
6241220430345244
721213415163425
oct3053423350174
9667183144651
10212002001020
1181a0066a207
123510705b224
1316cb7a04724
14a3920a064c
1557abe8ca9a
hex315c4dd07c

212002001020 has 48 divisors (see below), whose sum is σ = 449994198528. Its totient is φ = 83893239360.

The previous prime is 212002000993. The next prime is 212002001021. The reversal of 212002001020 is 20100200212.

212002001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212002000988 and 212002001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002001021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 554329 + ... + 855151.

It is an arithmetic number, because the mean of its divisors is an integer number (9374879136).

Almost surely, 2212002001020 is an apocalyptic number.

212002001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002001020 is an abundant number, since it is smaller than the sum of its proper divisors (237992197508).

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

212002001020 is a wasteful number, since it uses less digits than its factorization.

212002001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301210 (or 301208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212002001020 its reverse (20100200212), we get a palindrome (232102201232).

The spelling of 212002001020 in words is "two hundred twelve billion, two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 167 211 334 422 668 835 844 1055 1670 2110 3340 4220 35237 70474 140948 176185 300823 352370 601646 704740 1203292 1504115 3008230 6016460 50237441 63473653 100474882 126947306 200949764 251187205 253894612 317368265 502374410 634736530 1004748820 1269473060 10600100051 21200200102 42400400204 53000500255 106001000510 212002001020