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11002320324 = 22322914970729
BaseRepresentation
bin10100011111100101…
…00001010111000100
31001101202210210010100
422033302201113010
5140013043222244
65015425524100
7536435115432
oct121762412704
931352723110
1011002320324
114736583116
1221707a3630
13106455a818
14765315d52
15445d9bb69
hex28fca15c4

11002320324 has 72 divisors (see below), whose sum is σ = 28963935000. Its totient is φ = 3517161984.

The previous prime is 11002320317. The next prime is 11002320349. The reversal of 11002320324 is 42302320011.

11002320324 is a `hidden beast` number, since 110 + 0 + 232 + 0 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 696009924 + 10306310400 = 26382^2 + 101520^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11002320297 and 11002320306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120192 + ... + 190920.

It is an arithmetic number, because the mean of its divisors is an integer number (402276875).

Almost surely, 211002320324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002320324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481967500).

11002320324 is an abundant number, since it is smaller than the sum of its proper divisors (17961614676).

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

11002320324 is a wasteful number, since it uses less digits than its factorization.

11002320324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70917 (or 70912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11002320324 its reverse (42302320011), we get a palindrome (53304640335).

The spelling of 11002320324 in words is "eleven billion, two million, three hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 149 174 261 298 348 447 522 596 894 1044 1341 1788 2682 4321 5364 8642 12963 17284 25926 38889 51852 70729 77778 141458 155556 212187 282916 424374 636561 848748 1273122 2051141 2546244 4102282 6153423 8204564 10538621 12306846 18460269 21077242 24613692 31615863 36920538 42154484 63231726 73841076 94847589 126463452 189695178 305620009 379390356 611240018 916860027 1222480036 1833720054 2750580081 3667440108 5501160162 11002320324