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103200333021 = 3213992988799
BaseRepresentation
bin110000000011100111…
…0000001110011011101
3100212101012122002211100
41200013032001303131
53142323241124041
6115224245143313
710312254233322
oct1400716016335
9325335562740
10103200333021
113a848996725
12180016bab39
139968866a16
144dd00d4b49
152a401a16b6
hex1807381cdd

103200333021 has 24 divisors (see below), whose sum is σ = 150302880000. Its totient is φ = 68230962432.

The previous prime is 103200333011. The next prime is 103200333029. The reversal of 103200333021 is 120333002301.

103200333021 is a `hidden beast` number, since 10 + 320 + 0 + 3 + 330 + 2 + 1 = 666.

It is not a de Polignac number, because 103200333021 - 29 = 103200332509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103200332985 and 103200333003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200333029) 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 23 ways as a sum of consecutive naturals, for example, 1117780 + ... + 1206578.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620000).

Almost surely, 2103200333021 is an apocalyptic number.

It is an amenable number.

103200333021 is a deficient number, since it is larger than the sum of its proper divisors (47102546979).

103200333021 is a wasteful number, since it uses less digits than its factorization.

103200333021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89873 (or 89870 counting only the distinct ones).

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

Adding to 103200333021 its reverse (120333002301), we get a palindrome (223533335322).

It can be divided in two parts, 1032003 and 33021, that added together give a square (1065024 = 10322).

The spelling of 103200333021 in words is "one hundred three billion, two hundred million, three hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 139 417 929 1251 2787 8361 88799 129131 266397 387393 799191 1162179 12343061 37029183 82494271 111087549 247482813 742448439 11466703669 34400111007 103200333021