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321420021334321 = 7213655377000461
BaseRepresentation
bin100100100010101000110111…
…0001100100000000100110001
31120011001110020221002001102111
41021011101232030200010301
5314112121200430144241
63055334152551445321
7124462554522633100
oct11105215614400461
91504043227061374
10321420021334321
1193461513705638
123007142a986841
1310a46a16229bb0
145952b5233a037
152725d143d6c81
hex124546e320131

321420021334321 has 24 divisors (see below), whose sum is σ = 402719500302504. Its totient is φ = 254271535015680.

The previous prime is 321420021334267. The next prime is 321420021334331. The reversal of 321420021334321 is 123433120024123.

It can be written as a sum of positive squares in 4 ways, for example, as 6695958399025 + 314724062935296 = 2587655^2 + 17740464^2 .

It is not a de Polignac number, because 321420021334321 - 27 = 321420021334193 is a prime.

It is a super-2 number, since 2×3214200213343212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321420021334331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34325970 + ... + 42674491.

It is an arithmetic number, because the mean of its divisors is an integer number (16779979179271).

Almost surely, 2321420021334321 is an apocalyptic number.

It is an amenable number.

321420021334321 is a deficient number, since it is larger than the sum of its proper divisors (81299478968183).

321420021334321 is a wasteful number, since it uses less digits than its factorization.

321420021334321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77007041 (or 77007034 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 321420021334321 its reverse (123433120024123), we get a palindrome (444853141358444).

The spelling of 321420021334321 in words is "three hundred twenty-one trillion, four hundred twenty billion, twenty-one million, three hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 7 13 49 91 637 6553 45871 85189 321097 596323 4174261 77000461 539003227 1001005993 3773022589 7007041951 49049293657 504584020933 3532088146531 6559592272129 24724617025717 45917145904903 321420021334321