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213445232212400 = 24525231020292697
BaseRepresentation
bin110000100010000010010111…
…001111101011100110110000
31000222202011110020002102102122
4300202002113033223212300
5210434041313421244100
62033543215213333412
762646623555414456
oct6042022717534660
91028664406072378
10213445232212400
1162012684095061
121bb33148497268
139213a5061ba46
143a9cb392469d6
1519a230112b985
hexc220973eb9b0

213445232212400 has 60 divisors (see below), whose sum is σ = 513782672175672. Its totient is φ = 85214845969920.

The previous prime is 213445232212343. The next prime is 213445232212409. The reversal of 213445232212400 is 4212232544312.

It is not an unprimeable number, because it can be changed into a prime (213445232212409) 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, 509937149 + ... + 510355548.

Almost surely, 2213445232212400 is an apocalyptic number.

213445232212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213445232212400 is an abundant number, since it is smaller than the sum of its proper divisors (300337439963272).

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

213445232212400 is a wasteful number, since it uses less digits than its factorization.

213445232212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020293238 (or 1020293227 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 213445232212400 its reverse (4212232544312), we get a palindrome (217657464756712).

The spelling of 213445232212400 in words is "two hundred thirteen trillion, four hundred forty-five billion, two hundred thirty-two million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 523 1046 2092 2615 4184 5230 8368 10460 13075 20920 26150 41840 52300 104600 209200 1020292697 2040585394 4081170788 5101463485 8162341576 10202926970 16324683152 20405853940 25507317425 40811707880 51014634850 81623415760 102029269700 204058539400 408117078800 533613080531 1067226161062 2134452322124 2668065402655 4268904644248 5336130805310 8537809288496 10672261610620 13340327013275 21344523221240 26680654026550 42689046442480 53361308053100 106722616106200 213445232212400