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1113023330232 = 23311139151200867
BaseRepresentation
bin10000001100100101010…
…111000011011110111000
310221101220111202111020220
4100030211113003132320
5121213432433031412
62211152120420040
7143261520131232
oct20144527033670
93841814674226
101113023330232
1139a037720830
1215b865317620
1380c5ac58138
143bc28d87252
151de43eb068c
hex103255c37b8

1113023330232 has 128 divisors (see below), whose sum is σ = 3077619148800. Its totient is φ = 332634096000.

The previous prime is 1113023330141. The next prime is 1113023330257. The reversal of 1113023330232 is 2320333203111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 5440663 + ... + 5641529.

It is an arithmetic number, because the mean of its divisors is an integer number (24043899600).

Almost surely, 21113023330232 is an apocalyptic number.

1113023330232 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 1113023330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538809574400).

1113023330232 is an abundant number, since it is smaller than the sum of its proper divisors (1964595818568).

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

1113023330232 is a wasteful number, since it uses less digits than its factorization.

1113023330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201177 (or 201173 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1113023330232 its reverse (2320333203111), we get a palindrome (3433356533343).

The spelling of 1113023330232 in words is "one trillion, one hundred thirteen billion, twenty-three million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 151 264 278 302 417 453 556 604 834 906 1112 1208 1529 1661 1668 1812 3058 3322 3336 3624 4587 4983 6116 6644 9174 9966 12232 13288 18348 19932 20989 36696 39864 41978 62967 83956 125934 167912 200867 230879 251868 401734 461758 503736 602601 692637 803468 923516 1205202 1385274 1606936 1847032 2209537 2410404 2770548 4419074 4820808 5541096 6628611 8838148 13257222 17676296 26514444 27920513 30330917 53028888 55841026 60661834 83761539 90992751 111682052 121323668 167523078 181985502 223364104 242647336 307125643 333640087 335046156 363971004 614251286 667280174 670092312 727942008 921376929 1000920261 1228502572 1334560348 1842753858 2001840522 2457005144 2669120696 3685507716 4003681044 4215997463 7371015432 8007362088 8431994926 12647992389 16863989852 25295984778 33727979704 46375972093 50591969556 92751944186 101183939112 139127916279 185503888372 278255832558 371007776744 556511665116 1113023330232