Search a number
-
+
11321230212 = 2232836196121
BaseRepresentation
bin10101000101100110…
…00100001110000100
31002012222220002020200
422202303010032010
5141141213331322
65111221130500
7550356604035
oct124263041604
932188802220
1011321230212
11488a5a2906
12223b559a30
1310b56497b6
1479580ca8c
15463d938ac
hex2a2cc4384

11321230212 has 72 divisors (see below), whose sum is σ = 29013872160. Its totient is φ = 3721645440.

The previous prime is 11321230211. The next prime is 11321230213. The reversal of 11321230212 is 21203212311.

It is an interprime number because it is at equal distance from previous prime (11321230211) and next prime (11321230213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11321230211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846512 + ... + 1852632.

Almost surely, 211321230212 is an apocalyptic number.

11321230212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506936080).

11321230212 is an abundant number, since it is smaller than the sum of its proper divisors (17692641948).

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

11321230212 is a wasteful number, since it uses less digits than its factorization.

11321230212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11321230212 its reverse (21203212311), we get a palindrome (32524442523).

The spelling of 11321230212 in words is "eleven billion, three hundred twenty-one million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 619 747 996 1238 1494 1857 2476 2988 3714 5571 6121 7428 11142 12242 18363 22284 24484 36726 51377 55089 73452 102754 110178 154131 205508 220356 308262 462393 508043 616524 924786 1016086 1524129 1849572 2032172 3048258 3788899 4572387 6096516 7577798 9144774 11366697 15155596 18289548 22733394 34100091 45466788 68200182 136400364 314478617 628957234 943435851 1257914468 1886871702 2830307553 3773743404 5660615106 11321230212