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213013110420 = 2233511169921107
BaseRepresentation
bin1100011001100010010…
…0100001111010010100
3202100211020202012002000
43012120210201322110
511442222324013140
6241505030115300
721250443364305
oct3063044417224
9670736665060
10213013110420
118237a390710
12353497abb30
1317119331406
14a44a4a07ac
15581ab15a30
hex3198921e94

213013110420 has 192 divisors, whose sum is σ = 723413376000. Its totient is φ = 51606702720.

The previous prime is 213013110407. The next prime is 213013110421. The reversal of 213013110420 is 24011310312.

213013110420 is a `hidden beast` number, since 2 + 130 + 1 + 3 + 110 + 420 = 666.

It is a super-2 number, since 2×2130131104202 (a number of 23 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 = 213013110393 and 213013110402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013110421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10081507 + ... + 10102613.

It is an arithmetic number, because the mean of its divisors is an integer number (3767778000).

Almost surely, 2213013110420 is an apocalyptic number.

213013110420 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 213013110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361706688000).

213013110420 is an abundant number, since it is smaller than the sum of its proper divisors (510400265580).

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

213013110420 is a wasteful number, since it uses less digits than its factorization.

213013110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22835 (or 22827 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213013110420 its reverse (24011310312), we get a palindrome (237024420732).

The spelling of 213013110420 in words is "two hundred thirteen billion, thirteen million, one hundred ten thousand, four hundred twenty".