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2013021000324 = 22322343531066777
BaseRepresentation
bin11101010010110001011…
…001101101001010000100
321010102221220011012110100
4131102301121231022010
5230440131334002244
64140434042124100
7265302352116105
oct35226131551204
97112856135410
102013021000324
1170679896a084
122861787b0630
13117a9a0a98a9
146d605d243ac
153756b1cbb69
hex1d4b166d284

2013021000324 has 144 divisors (see below), whose sum is σ = 5535707329152. Its totient is φ = 615077438976.

The previous prime is 2013021000307. The next prime is 2013021000329. The reversal of 2013021000324 is 4230001203102.

2013021000324 is a `hidden beast` number, since 2 + 0 + 130 + 210 + 0 + 0 + 324 = 666.

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 = 2013021000297 and 2013021000306.

It is not an unprimeable number, because it can be changed into a prime (2013021000329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1353624 + ... + 2420400.

It is an arithmetic number, because the mean of its divisors is an integer number (38442412008).

Almost surely, 22013021000324 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 2013021000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767853664576).

2013021000324 is an abundant number, since it is smaller than the sum of its proper divisors (3522686328828).

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

2013021000324 is a wasteful number, since it uses less digits than its factorization.

2013021000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066906 (or 1066901 counting only the distinct ones).

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

Adding to 2013021000324 its reverse (4230001203102), we get a palindrome (6243022203426).

The spelling of 2013021000324 in words is "two trillion, thirteen billion, twenty-one million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 53 69 86 92 106 129 138 159 172 207 212 258 276 318 387 414 477 516 636 774 828 954 989 1219 1548 1908 1978 2279 2438 2967 3657 3956 4558 4876 5934 6837 7314 8901 9116 10971 11868 13674 14628 17802 20511 21942 27348 35604 41022 43884 52417 82044 104834 157251 209668 314502 471753 629004 943506 1066777 1887012 2133554 3200331 4267108 6400662 9600993 12801324 19201986 24535871 38403972 45871411 49071742 56539181 73607613 91742822 98143484 113078362 137614233 147215226 169617543 183485644 220822839 226156724 275228466 294430452 339235086 412842699 441645678 508852629 550456932 678470172 825685398 883291356 1017705258 1055042453 1300401163 1651370796 2035410516 2110084906 2431184783 2600802326 3165127359 3901203489 4220169812 4862369566 5201604652 6330254718 7293554349 7802406978 9495382077 9724739132 11703610467 12660509436 14587108698 15604813956 18990764154 21880663047 23407220934 29174217396 37981528308 43761326094 46814441868 55917250009 87522652188 111834500018 167751750027 223669000036 335503500054 503255250081 671007000108 1006510500162 2013021000324