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13320000123021 = 3241257321743661
BaseRepresentation
bin1100000111010100110111…
…1000000011000010001101
31202011101020201012002000200
43001311031320003002031
53221213330012414041
644155042405444113
72543224006642434
oct301651570030215
952141221162020
1013320000123021
114275a868aa489
1215b1609110639
137580bc205937
1434099748211b
1518173cad81b6
hexc1d4de0308d

13320000123021 has 48 divisors (see below), whose sum is σ = 19792561986288. Its totient is φ = 8626824806400.

The previous prime is 13320000122993. The next prime is 13320000123041. The reversal of 13320000123021 is 12032100002331.

It can be written as a sum of positive squares in 8 ways, for example, as 3128971832100 + 10191028290921 = 1768890^2 + 3192339^2 .

It is not a de Polignac number, because 13320000123021 - 219 = 13319999598733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13320000122985 and 13320000123003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320000123041) 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, 305055931 + ... + 305099591.

It is an arithmetic number, because the mean of its divisors is an integer number (412345041381).

Almost surely, 213320000123021 is an apocalyptic number.

It is an amenable number.

13320000123021 is a deficient number, since it is larger than the sum of its proper divisors (6472561863267).

13320000123021 is a wasteful number, since it uses less digits than its factorization.

13320000123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47182 (or 47179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320000123021 its reverse (12032100002331), we get a palindrome (25352100125352).

The spelling of 13320000123021 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 41 123 257 369 771 2313 3217 9651 10537 28953 31611 43661 94833 130983 131897 392949 395691 826769 1187073 1790101 2480307 5370303 7440921 11220877 16110909 33662631 33897529 100987893 101692587 140457437 305077761 421372311 460055957 1264116933 1380167871 4140503613 5758754917 17276264751 36097561309 51828794253 108292683927 324878051781 1480000013669 4440000041007 13320000123021