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213513012430 = 251929311250003
BaseRepresentation
bin1100011011011001011…
…1100000010011001110
3202102010002101211201021
43012312113200103032
511444233312344210
6242030404504354
721266023442464
oct3066627402316
9672102354637
10213513012430
1182606590473
12354690ab0ba
1317198a80a13
14a496a2c834
15584995ebda
hex31b65e04ce

213513012430 has 64 divisors (see below), whose sum is σ = 432001382400. Its totient is φ = 75600120960.

The previous prime is 213513012421. The next prime is 213513012431. The reversal of 213513012430 is 34210315312.

It is a happy number.

213513012430 is digitally balanced in base 2, 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 = 213513012395 and 213513012404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213513012431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454192 + ... + 795811.

It is an arithmetic number, because the mean of its divisors is an integer number (6750021600).

Almost surely, 2213513012430 is an apocalyptic number.

213513012430 is an abundant number, since it is smaller than the sum of its proper divisors (218488369970).

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

213513012430 is a wasteful number, since it uses less digits than its factorization.

213513012430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250089.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 213513012430 its reverse (34210315312), we get a palindrome (247723327742).

The spelling of 213513012430 in words is "two hundred thirteen billion, five hundred thirteen million, twelve thousand, four hundred thirty".

Divisors: 1 2 5 10 19 29 31 38 58 62 95 145 155 190 290 310 551 589 899 1102 1178 1798 2755 2945 4495 5510 5890 8990 17081 34162 85405 170810 1250003 2500006 6250015 12500030 23750057 36250087 38750093 47500114 72500174 77500186 118750285 181250435 193750465 237500570 362500870 387500930 688751653 736251767 1123752697 1377503306 1472503534 2247505394 3443758265 3681258835 5618763485 6887516530 7362517670 11237526970 21351301243 42702602486 106756506215 213513012430