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11323302012 = 2234114996367
BaseRepresentation
bin10101000101110101…
…11110000001111100
31002020010210100020000
422202322332001330
5141142231131022
65111333354300
7550413323211
oct124272760174
932203710200
1011323302012
114890788440
122240198990
1310b5bc3809
14795bcbb08
154641526ac
hex2a2ebe07c

11323302012 has 120 divisors (see below), whose sum is σ = 32362176000. Its totient is φ = 3423889440.

The previous prime is 11323301999. The next prime is 11323302019. The reversal of 11323302012 is 21020332311.

11323302012 is a `hidden beast` number, since 1 + 132 + 330 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323302019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1775253 + ... + 1781619.

It is an arithmetic number, because the mean of its divisors is an integer number (269684800).

Almost surely, 211323302012 is an apocalyptic number.

11323302012 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 11323302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181088000).

11323302012 is an abundant number, since it is smaller than the sum of its proper divisors (21038873988).

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

11323302012 is a wasteful number, since it uses less digits than its factorization.

11323302012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11323302012 its reverse (21020332311), we get a palindrome (32343634323).

The spelling of 11323302012 in words is "eleven billion, three hundred twenty-three million, three hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 499 594 891 998 1188 1497 1782 1996 2994 3564 4491 5489 5988 6367 8982 10978 12734 13473 16467 17964 19101 21956 25468 26946 32934 38202 40419 49401 53892 57303 65868 70037 76404 80838 98802 114606 140074 148203 161676 171909 197604 210111 229212 280148 296406 343818 420222 444609 515727 592812 630333 687636 840444 889218 1031454 1260666 1778436 1890999 2062908 2521332 3177133 3781998 5672997 6354266 7563996 9531399 11345994 12708532 19062798 22691988 28594197 34948463 38125596 57188394 69896926 85782591 104845389 114376788 139793852 171565182 209690778 257347773 314536167 343130364 419381556 514695546 629072334 943608501 1029391092 1258144668 1887217002 2830825503 3774434004 5661651006 11323302012