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213011424400 = 24521928027819
BaseRepresentation
bin1100011001100001111…
…0000110010010010000
3202100211010120112021211
43012120132012102100
511442221411040100
6241504530025504
721250423142635
oct3063036062220
9670733515254
10213011424400
1182379439a05
1235349118294
1317118b90b78
14a44a18218c
15581a8d11ba
hex3198786490

213011424400 has 60 divisors (see below), whose sum is σ = 538694700400. Its totient is φ = 80720115840.

The previous prime is 213011424391. The next prime is 213011424403. The reversal of 213011424400 is 4424110312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213011424403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14006310 + ... + 14021509.

Almost surely, 2213011424400 is an apocalyptic number.

213011424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213011424400 is an abundant number, since it is smaller than the sum of its proper divisors (325683276000).

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

213011424400 is a wasteful number, since it uses less digits than its factorization.

213011424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027856 (or 28027845 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213011424400 its reverse (4424110312), we get a palindrome (217435534712).

The spelling of 213011424400 in words is "two hundred thirteen billion, eleven million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 28027819 56055638 112111276 140139095 224222552 280278190 448445104 532528561 560556380 700695475 1065057122 1121112760 1401390950 2130114244 2242225520 2662642805 2802781900 4260228488 5325285610 5605563800 8520456976 10650571220 11211127600 13313214025 21301142440 26626428050 42602284880 53252856100 106505712200 213011424400