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20132123220 = 223251110167739
BaseRepresentation
bin10010101111111101…
…111101001001010100
31220222001010211020100
4102233331331021110
5312212310420340
613125405134100
71311615136536
oct225775751124
956861124210
1020132123220
1185a1071170
123a9a25a330
131b8ab87961
14d8da79856
157cc668830
hex4aff7d254

20132123220 has 72 divisors (see below), whose sum is σ = 66619032480. Its totient is φ = 4880514240.

The previous prime is 20132123213. The next prime is 20132123239. The reversal of 20132123220 is 2232123102.

20132123220 is a `hidden beast` number, since 20 + 1 + 321 + 2 + 322 + 0 = 666.

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 = 20132123193 and 20132123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5081890 + ... + 5085849.

It is an arithmetic number, because the mean of its divisors is an integer number (925264340).

Almost surely, 220132123220 is an apocalyptic number.

20132123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132123220 is an abundant number, since it is smaller than the sum of its proper divisors (46486909260).

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

20132123220 is a wasteful number, since it uses less digits than its factorization.

20132123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167765 (or 10167760 counting only the distinct ones).

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

Adding to 20132123220 its reverse (2232123102), we get a palindrome (22364246322).

The spelling of 20132123220 in words is "twenty billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10167739 20335478 30503217 40670956 50838695 61006434 91509651 101677390 111845129 122012868 152516085 183019302 203354780 223690258 305032170 335535387 366038604 447380516 457548255 559225645 610064340 671070774 915096510 1006606161 1118451290 1342141548 1677676935 1830193020 2013212322 2236902580 3355353870 4026424644 5033030805 6710707740 10066061610 20132123220