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212013001020 = 223559319793011
BaseRepresentation
bin1100010101110011110…
…1011010100100111100
3202021020112212100220010
43011130331122210330
511433200312013040
6241221502223220
721213610526412
oct3053475324474
9667215770803
10212013001020
1181a068a2717
123510a884b10
1316cba0864c2
14a3937252b2
1557ace11e80
hex315cf5a93c

212013001020 has 96 divisors (see below), whose sum is σ = 595135537920. Its totient is φ = 56394204160.

The previous prime is 212013001009. The next prime is 212013001021. The reversal of 212013001020 is 20100310212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212013000987 and 212013001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70411315 + ... + 70414325.

It is an arithmetic number, because the mean of its divisors is an integer number (6199328520).

Almost surely, 2212013001020 is an apocalyptic number.

212013001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013001020 is an abundant number, since it is smaller than the sum of its proper divisors (383122536900).

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

212013001020 is a wasteful number, since it uses less digits than its factorization.

212013001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212013001020 its reverse (20100310212), we get a palindrome (232113311232).

The spelling of 212013001020 in words is "two hundred twelve billion, thirteen million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 593 1186 1779 1979 2372 2965 3011 3558 3958 5930 5937 6022 7116 7916 8895 9033 9895 11860 11874 12044 15055 17790 18066 19790 23748 29685 30110 35580 36132 39580 45165 59370 60220 90330 118740 180660 1173547 1785523 2347094 3520641 3571046 4694188 5356569 5867735 5958769 7041282 7142092 8927615 10713138 11735470 11917538 14082564 17603205 17855230 17876307 21426276 23470940 23835076 26782845 29793845 35206410 35710460 35752614 53565690 59587690 70412820 71505228 89381535 107131380 119175380 178763070 357526140 3533550017 7067100034 10600650051 14134200068 17667750085 21201300102 35335500170 42402600204 53003250255 70671000340 106006500510 212013001020