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213001220120 = 23513409617731
BaseRepresentation
bin1100011001011111011…
…1001011000000011000
3202100210102101002122112
43012113313023000120
511442211303020440
6241503523211452
721250240332563
oct3062767130030
9670712332575
10213001220120
11823736aa317
1235345816b88
1317116a2a330
14a448a874da
155819a67965
hex3197dcb018

213001220120 has 32 divisors (see below), whose sum is σ = 516118342320. Its totient is φ = 78646604160.

The previous prime is 213001220087. The next prime is 213001220123. The reversal of 213001220120 is 21022100312.

It is a happy number.

213001220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213001220095 and 213001220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001220123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204808346 + ... + 204809385.

Almost surely, 2213001220120 is an apocalyptic number.

213001220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001220120 is an abundant number, since it is smaller than the sum of its proper divisors (303117122200).

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

213001220120 is a wasteful number, since it uses less digits than its factorization.

213001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409617755 (or 409617751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213001220120 its reverse (21022100312), we get a palindrome (234023320432).

The spelling of 213001220120 in words is "two hundred thirteen billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 409617731 819235462 1638470924 2048088655 3276941848 4096177310 5325030503 8192354620 10650061006 16384709240 21300122012 26625152515 42600244024 53250305030 106500610060 213001220120