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321430101334431 = 32920249182458337
BaseRepresentation
bin100100100010101101100011…
…1000000101001100110011111
31120011002102021102101010001220
41021011123013000221212133
5314112302321420200211
63055342541113104423
7124463362361341365
oct11105330700514637
91504072242333056
10321430101334431
11934658165a0941
12300733826b8113
1310a479616777bb
14595342ad65635
1527262042e8806
hex12456c702999f

321430101334431 has 16 divisors (see below), whose sum is σ = 443373761340000. Its totient is φ = 206887317690368.

The previous prime is 321430101334409. The next prime is 321430101334451. The reversal of 321430101334431 is 134433101034123.

It is a cyclic number.

It is not a de Polignac number, because 321430101334431 - 29 = 321430101333919 is a prime.

It is a super-2 number, since 2×3214301013344312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321430101334392 and 321430101334401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321430101334451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89467506 + ... + 92990831.

It is an arithmetic number, because the mean of its divisors is an integer number (27710860083750).

Almost surely, 2321430101334431 is an apocalyptic number.

321430101334431 is a deficient number, since it is larger than the sum of its proper divisors (121943660005569).

321430101334431 is a wasteful number, since it uses less digits than its factorization.

321430101334431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182478618.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 321430101334431 its reverse (134433101034123), we get a palindrome (455863202368554).

The spelling of 321430101334431 in words is "three hundred twenty-one trillion, four hundred thirty billion, one hundred one million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 29 87 20249 60747 587221 1761663 182458337 547375011 5291291773 15873875319 3694598865913 11083796597739 107143367111477 321430101334431