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20213221320 = 2332570979193
BaseRepresentation
bin10010110100110011…
…010100011111001000
31221011200202000220200
4102310303110133020
5312344041040240
613141423252200
71313621355255
oct226463243710
957150660820
1020213221320
118632922396
123b0144a060
131ba1910ab6
14d9a74a42c
157d4837930
hex4b4cd47c8

20213221320 has 96 divisors (see below), whose sum is σ = 65786455800. Its totient is φ = 5382521856.

The previous prime is 20213221297. The next prime is 20213221331. The reversal of 20213221320 is 2312231202.

20213221320 is a `hidden beast` number, since 2 + 0 + 21 + 322 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10439526276 + 9773695044 = 102174^2 + 98862^2 .

It is a super-2 number, since 2×202132213202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20213221293 and 20213221302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215644 + ... + 294836.

Almost surely, 220213221320 is an apocalyptic number.

20213221320 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 20213221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32893227900).

20213221320 is an abundant number, since it is smaller than the sum of its proper divisors (45573234480).

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

20213221320 is a wasteful number, since it uses less digits than its factorization.

20213221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79919 (or 79912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20213221320 its reverse (2312231202), we get a palindrome (22525452522).

The spelling of 20213221320 in words is "twenty billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5672 6381 7090 8508 10635 12762 14180 17016 21270 25524 28360 31905 42540 51048 63810 79193 85080 127620 158386 237579 255240 316772 395965 475158 633544 712737 791930 950316 1187895 1425474 1583860 1900632 2375790 2850948 3167720 3563685 4751580 5701896 7127370 9503160 14254740 28509480 56147837 112295674 168443511 224591348 280739185 336887022 449182696 505330533 561478370 673774044 842217555 1010661066 1122956740 1347548088 1684435110 2021322132 2245913480 2526652665 3368870220 4042644264 5053305330 6737740440 10106610660 20213221320