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321430124241231 = 32331791902167251
BaseRepresentation
bin100100100010101101100100…
…0011000000010000101001111
31120011002102100000110220021220
41021011123020120002011033
5314112302343301204411
63055342543252054423
7124463363060135145
oct11105331030020517
91504072300426256
10321430124241231
1193465828517085
123007338a304413
1310a47966338015
145953430009595
152726206320b06
hex12456c860214f

321430124241231 has 32 divisors (see below), whose sum is σ = 467476623851520. Its totient is φ = 195847140060000.

The previous prime is 321430124241211. The next prime is 321430124241313. The reversal of 321430124241231 is 132142421034123.

It is not a de Polignac number, because 321430124241231 - 215 = 321430124208463 is a prime.

It is a super-2 number, since 2×3214301242412312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321430124241192 and 321430124241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321430124241211) 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 31 ways as a sum of consecutive naturals, for example, 950914645 + ... + 951252606.

It is an arithmetic number, because the mean of its divisors is an integer number (14608644495360).

Almost surely, 2321430124241231 is an apocalyptic number.

321430124241231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

321430124241231 is a deficient number, since it is larger than the sum of its proper divisors (146046499610289).

321430124241231 is a wasteful number, since it uses less digits than its factorization.

321430124241231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902167387.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 321430124241231 its reverse (132142421034123), we get a palindrome (453572545275354).

The spelling of 321430124241231 in words is "three hundred twenty-one trillion, four hundred thirty billion, one hundred twenty-four million, two hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 23 31 69 79 93 237 713 1817 2139 2449 5451 7347 56327 168981 1902167251 5706501753 43749846773 58967184781 131249540319 150271212829 176901554343 450813638487 1356245249963 3456237895067 4068735749889 4658407597699 10368713685201 13975222793097 107143374747077 321430124241231