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11330442132 = 22317714191867
BaseRepresentation
bin10101000110101100…
…01101001110010100
31002020122020002121220
422203112031032110
5141201043122012
65112150410340
7550531111662
oct124326151624
932218202556
1011330442132
114894814969
1222426609b0
1310b7523739
14796b29c32
15464ab308c
hex2a358d394

11330442132 has 96 divisors (see below), whose sum is σ = 28470113280. Its totient is φ = 3494346240.

The previous prime is 11330442119. The next prime is 11330442161. The reversal of 11330442132 is 23124403311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6067863 + ... + 6069729.

It is an arithmetic number, because the mean of its divisors is an integer number (296563680).

Almost surely, 211330442132 is an apocalyptic number.

11330442132 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 11330442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235056640).

11330442132 is an abundant number, since it is smaller than the sum of its proper divisors (17139671148).

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

11330442132 is a wasteful number, since it uses less digits than its factorization.

11330442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11330442132 its reverse (23124403311), we get a palindrome (34454845443).

The spelling of 11330442132 in words is "eleven billion, three hundred thirty million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 419 426 838 852 1207 1257 1676 1867 2414 2514 3621 3734 4828 5028 5601 7123 7242 7468 11202 14246 14484 21369 22404 28492 29749 31739 42738 59498 63478 85476 89247 95217 118996 126956 132557 178494 190434 265114 356988 380868 397671 505733 530228 782273 795342 1011466 1517199 1564546 1590684 2022932 2253469 2346819 3034398 3129092 4506938 4693638 6068796 6760407 9013876 9387276 13298641 13520814 26597282 27041628 39895923 53194564 55541383 79791846 111082766 159583692 166624149 222165532 333248298 666496596 944203511 1888407022 2832610533 3776814044 5665221066 11330442132