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11213000214 = 2313199198233
BaseRepresentation
bin10100111000101100…
…01100111000010110
31001221110020102121020
422130112030320112
5140431012001324
65052353302010
7544603633503
oct123426147026
931843212536
1011213000214
1148344a0029
12220b264906
1310990b3c90
147852b84aa
15459615679
hex29c58ce16

11213000214 has 64 divisors (see below), whose sum is σ = 25452940800. Its totient is φ = 3264613632.

The previous prime is 11213000213. The next prime is 11213000243. The reversal of 11213000214 is 41200031211.

It is a junction number, because it is equal to n+sod(n) for n = 11213000193 and 11213000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357842 + ... + 1366074.

It is an arithmetic number, because the mean of its divisors is an integer number (397702200).

Almost surely, 211213000214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213000214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726470400).

11213000214 is an abundant number, since it is smaller than the sum of its proper divisors (14239940586).

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

11213000214 is a wasteful number, since it uses less digits than its factorization.

11213000214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11213000214 its reverse (41200031211), we get a palindrome (52413031425).

The spelling of 11213000214 in words is "eleven billion, two hundred thirteen million, two hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 919 1482 1838 2757 5514 8233 11947 16466 17461 23894 24699 34922 35841 49398 52383 71682 104766 107029 156427 214058 226993 312854 321087 453986 469281 642174 680979 938562 1361958 2033551 4067102 6100653 7566127 12201306 15132254 22698381 45396762 98359651 143756413 196719302 287512826 295078953 431269239 590157906 862538478 1868833369 3737666738 5606500107 11213000214