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20320212120 = 23351313025777
BaseRepresentation
bin10010111011001011…
…011101010010011000
31221110011001201200220
4102323023131102120
5313103433241440
613200204400040
71316360644635
oct227313352230
957404051626
1020320212120
11868825913a
123b31246020
131bbab31570
14daaa3b18c
157dde1d8d0
hex4bb2dd498

20320212120 has 64 divisors (see below), whose sum is σ = 65649921120. Its totient is φ = 5001897984.

The previous prime is 20320212097. The next prime is 20320212127. The reversal of 20320212120 is 2121202302.

It is a happy number.

It is a super-2 number, since 2×203202121202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20320212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6511329 + ... + 6514448.

Almost surely, 220320212120 is an apocalyptic number.

20320212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320212120 is an abundant number, since it is smaller than the sum of its proper divisors (45329709000).

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

20320212120 is a wasteful number, since it uses less digits than its factorization.

20320212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025804 (or 13025800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20320212120 its reverse (2121202302), we get a palindrome (22441414422).

The spelling of 20320212120 in words is "twenty billion, three hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 13025777 26051554 39077331 52103108 65128885 78154662 104206216 130257770 156309324 169335101 195386655 260515540 312618648 338670202 390773310 508005303 521031080 677340404 781546620 846675505 1016010606 1354680808 1563093240 1693351010 2032021212 2540026515 3386702020 4064042424 5080053030 6773404040 10160106060 20320212120