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11320333002 = 23211377731999
BaseRepresentation
bin10101000101011111…
…01001001011001010
31002012221012111111200
422202233221023022
5141141001124002
65111150005030
7550346146206
oct124257511312
932187174450
1011320333002
11488a03a810
12223b1a6776
1310b53c42c4
14795657b06
15463c67b1c
hex2a2be92ca

11320333002 has 96 divisors (see below), whose sum is σ = 27529632000. Its totient is φ = 3331704960.

The previous prime is 11320332949. The next prime is 11320333007. The reversal of 11320333002 is 20033302311.

11320333002 is a `hidden beast` number, since 11 + 320 + 3 + 330 + 0 + 2 = 666.

11320333002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11320333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5661999 + ... + 5663997.

It is an arithmetic number, because the mean of its divisors is an integer number (286767000).

Almost surely, 211320333002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764816000).

11320333002 is an abundant number, since it is smaller than the sum of its proper divisors (16209298998).

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

11320333002 is a wasteful number, since it uses less digits than its factorization.

11320333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11320333002 its reverse (20033302311), we get a palindrome (31353635313).

The spelling of 11320333002 in words is "eleven billion, three hundred twenty million, three hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 773 814 1221 1546 1999 2319 2442 3663 3998 4638 5997 6957 7326 8503 11994 13914 17006 17991 21989 25509 28601 35982 43978 51018 57202 65967 73963 76527 85803 131934 147926 153054 171606 197901 221889 257409 314611 395802 443778 514818 629222 665667 813593 943833 1331334 1545227 1627186 1887666 2440779 2831499 3090454 4635681 4881558 5662998 7322337 9271362 13907043 14644674 16997497 27814086 33994994 50992491 57173399 101984982 114346798 152977473 171520197 305954946 343040394 514560591 628907389 1029121182 1257814778 1886722167 3773444334 5660166501 11320333002