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213120000020 = 22510656000001
BaseRepresentation
bin1100011001111011110…
…0010010000000010100
3202101002200212202001002
43012132330102000110
511442432210000040
6241523405122432
721253212052634
oct3063674220024
9671080782032
10213120000020
1182424758424
1235379559418
1317135517ab5
14a45a7666c4
1558251cba15
hex319ef12014

213120000020 has 12 divisors (see below), whose sum is σ = 447552000084. Its totient is φ = 85248000000.

The previous prime is 213120000019. The next prime is 213120000043. The reversal of 213120000020 is 20000021312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31355909776 + 181764090244 = 177076^2 + 426338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213119999956 and 213120000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5327999981 + ... + 5328000020.

It is an arithmetic number, because the mean of its divisors is an integer number (37296000007).

Almost surely, 2213120000020 is an apocalyptic number.

213120000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120000020 is an abundant number, since it is smaller than the sum of its proper divisors (234432000064).

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

213120000020 is a wasteful number, since it uses less digits than its factorization.

213120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656000010 (or 10656000008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213120000020 its reverse (20000021312), we get a palindrome (233120021332).

The spelling of 213120000020 in words is "two hundred thirteen billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 10656000001 21312000002 42624000004 53280000005 106560000010 213120000020