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211214441020 = 225115961266759
BaseRepresentation
bin1100010010110101011…
…1001001101000111100
3202012011220020022111211
43010231113021220330
511430031344103040
6241010334254204
721155043061222
oct3045527115074
9665156208454
10211214441020
1181637055780
1234b27357364
1316bc07b8bab
14a319652b12
155762c718ea
hex312d5c9a3c

211214441020 has 96 divisors (see below), whose sum is σ = 500142988800. Its totient is φ = 74265427200.

The previous prime is 211214441017. The next prime is 211214441033. The reversal of 211214441020 is 20144412112.

211214441020 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 2×2112144410202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211214440982 and 211214441000.

It is a congruent number.

It is an unprimeable number.

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, 658401 + ... + 925159.

It is an arithmetic number, because the mean of its divisors is an integer number (5209822800).

Almost surely, 2211214441020 is an apocalyptic number.

211214441020 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 211214441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250071494400).

211214441020 is an abundant number, since it is smaller than the sum of its proper divisors (288928547780).

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

211214441020 is a wasteful number, since it uses less digits than its factorization.

211214441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266899 (or 266897 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211214441020 its reverse (20144412112), we get a palindrome (231358853132).

The spelling of 211214441020 in words is "two hundred eleven billion, two hundred fourteen million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 61 110 118 122 220 236 244 295 305 590 610 649 671 1180 1220 1298 1342 2596 2684 3245 3355 3599 6490 6710 7198 12980 13420 14396 17995 35990 39589 71980 79178 158356 197945 266759 395890 533518 791780 1067036 1333795 2667590 2934349 5335180 5868698 11737396 14671745 15738781 16272299 29343490 31477562 32544598 58686980 62955124 65089196 78693905 81361495 157387810 162722990 173126591 178995289 314775620 325445980 346253182 357990578 692506364 715981156 865632955 894976445 960065641 1731265910 1789952890 1920131282 3462531820 3579905780 3840262564 4800328205 9600656410 10560722051 19201312820 21121444102 42242888204 52803610255 105607220510 211214441020