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211210003020 = 223537439216719
BaseRepresentation
bin1100010010110100011…
…0001110001001001100
3202012011120212211201110
43010231012032021030
511430024230044040
6241010055212020
721154660255362
oct3045506161114
9665146784643
10211210003020
11816345a4405
1234b25977010
1316bbc8c3b63
14a318c19632
155762696980
hex312d18e24c

211210003020 has 96 divisors (see below), whose sum is σ = 608757811200. Its totient is φ = 54675350784.

The previous prime is 211210003013. The next prime is 211210003021. The reversal of 211210003020 is 20300012112.

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 = 211210002987 and 211210003005.

It is not an unprimeable number, because it can be changed into a prime (211210003021) 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, 866221 + ... + 1082939.

It is an arithmetic number, because the mean of its divisors is an integer number (6341227200).

Almost surely, 2211210003020 is an apocalyptic number.

211210003020 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 211210003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304378905600).

211210003020 is an abundant number, since it is smaller than the sum of its proper divisors (397547808180).

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

211210003020 is a wasteful number, since it uses less digits than its factorization.

211210003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217207 (or 217205 counting only the distinct ones).

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

Adding to 211210003020 its reverse (20300012112), we get a palindrome (231510015132).

The spelling of 211210003020 in words is "two hundred eleven billion, two hundred ten million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 439 444 555 740 878 1110 1317 1756 2195 2220 2634 4390 5268 6585 8780 13170 16243 26340 32486 48729 64972 81215 97458 162430 194916 216719 243645 324860 433438 487290 650157 866876 974580 1083595 1300314 2167190 2600628 3250785 4334380 6501570 8018603 13003140 16037206 24055809 32074412 40093015 48111618 80186030 95139641 96223236 120279045 160372060 190279282 240558090 285418923 380558564 475698205 481116180 570837846 951396410 1141675692 1427094615 1902792820 2854189230 3520166717 5708378460 7040333434 10560500151 14080666868 17600833585 21121000302 35201667170 42242000604 52802500755 70403334340 105605001510 211210003020