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211211212020 = 223519691268123
BaseRepresentation
bin1100010010110100101…
…0110101010011110100
3202012011200011021011020
43010231022311103310
511430030032241040
6241010141141140
721155003452224
oct3045512652364
9665150137136
10211211212020
118163524a786
1234b2625a7b0
1316bbcc28243
14a319052084
155762834cd0
hex312d2b54f4

211211212020 has 96 divisors (see below), whose sum is σ = 623420474880. Its totient is φ = 53281203840.

The previous prime is 211211211977. The next prime is 211211212021. The reversal of 211211212020 is 20212112112.

211211212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112112120202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211212021) 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 31 ways as a sum of consecutive naturals, for example, 653679 + ... + 921801.

It is an arithmetic number, because the mean of its divisors is an integer number (6493963280).

Almost surely, 2211211212020 is an apocalyptic number.

211211212020 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 211211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311710237440).

211211212020 is an abundant number, since it is smaller than the sum of its proper divisors (412209262860).

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

211211212020 is a wasteful number, since it uses less digits than its factorization.

211211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268845 (or 268843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211211212020 its reverse (20212112112), we get a palindrome (231423324132).

The spelling of 211211212020 in words is "two hundred eleven billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 691 1140 1382 2073 2764 3455 4146 6910 8292 10365 13129 13820 20730 26258 39387 41460 52516 65645 78774 131290 157548 196935 262580 268123 393870 536246 787740 804369 1072492 1340615 1608738 2681230 3217476 4021845 5094337 5362460 8043690 10188674 15283011 16087380 20377348 25471685 30566022 50943370 61132044 76415055 101886740 152830110 185272993 305660220 370545986 555818979 741091972 926364965 1111637958 1852729930 2223275916 2779094895 3520186867 3705459860 5558189790 7040373734 10560560601 11116379580 14080747468 17600934335 21121121202 35201868670 42242242404 52802803005 70403737340 105605606010 211211212020