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212213000020 = 225717338322877
BaseRepresentation
bin1100010110100011100…
…0010110011101010100
3202021202111012100221111
43011220320112131110
511434103012000040
6241253405024404
721221556511030
oct3055070263524
9667674170844
10212213000020
1181aa978494a
1235165855104
131701c6401c8
14a3b21071c0
1557c076adea
hex3168e16754

212213000020 has 96 divisors (see below), whose sum is σ = 513615126528. Its totient is φ = 72146145792.

The previous prime is 212213000017. The next prime is 212213000023. The reversal of 212213000020 is 20000312212.

It is an interprime number because it is at equal distance from previous prime (212213000017) and next prime (212213000023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213000023) 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, 9264822 + ... + 9287698.

It is an arithmetic number, because the mean of its divisors is an integer number (5350157568).

Almost surely, 2212213000020 is an apocalyptic number.

212213000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256807563264).

212213000020 is an abundant number, since it is smaller than the sum of its proper divisors (301402126508).

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

212213000020 is a wasteful number, since it uses less digits than its factorization.

212213000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23449 (or 23447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212213000020 its reverse (20000312212), we get a palindrome (232213312232).

The spelling of 212213000020 in words is "two hundred twelve billion, two hundred thirteen million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 383 692 766 865 1211 1532 1730 1915 2422 2681 3460 3830 4844 5362 6055 7660 10724 12110 13405 22877 24220 26810 45754 53620 66259 91508 114385 132518 160139 228770 265036 320278 331295 457540 463813 640556 662590 800695 927626 1325180 1601390 1855252 2319065 3202780 3957721 4638130 7915442 8761891 9276260 15830884 17523782 19788605 27704047 35047564 39577210 43809455 55408094 61333237 79154420 87618910 110816188 122666474 138520235 175237820 245332948 277040470 306666185 554080940 613332370 1226664740 1515807143 3031614286 6063228572 7579035715 10610650001 15158071430 21221300002 30316142860 42442600004 53053250005 106106500010 212213000020