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321243421122 = 23413155997843
BaseRepresentation
bin1001010110010111001…
…10011001100111000010
31010201012000011122010000
410223023212121213002
520230401303433442
6403324401220430
732131466011611
oct4531346314702
91121160148100
10321243421122
11114269599a88
1252313931716
13243a6cc1790
141179661b878
158552690d4c
hex4acb9999c2

321243421122 has 80 divisors (see below), whose sum is σ = 775699404480. Its totient is φ = 98779717728.

The previous prime is 321243421097. The next prime is 321243421123. The reversal of 321243421122 is 221124342123.

321243421122 is a `hidden beast` number, since 3 + 2 + 12 + 434 + 211 + 2 + 2 = 666.

It is a super-2 number, since 2×3212434211222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (321243421123) 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 39 ways as a sum of consecutive naturals, for example, 3234333 + ... + 3332175.

It is an arithmetic number, because the mean of its divisors is an integer number (9696242556).

Almost surely, 2321243421122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321243421122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387849702240).

321243421122 is an abundant number, since it is smaller than the sum of its proper divisors (454455983358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321243421122 is a wasteful number, since it uses less digits than its factorization.

321243421122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99429 (or 99420 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 321243421122 its reverse (221124342123), we get a palindrome (542367763245).

The spelling of 321243421122 in words is "three hundred twenty-one billion, two hundred forty-three million, four hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1559 2106 3118 4677 9354 14031 20267 28062 40534 42093 60801 84186 97843 121602 126279 182403 195686 252558 293529 364806 547209 587058 880587 1094418 1271959 1641627 1761174 2543918 2641761 3283254 3815877 5283522 7631754 7925283 11447631 15850566 22895262 34342893 68685786 103028679 152537237 206057358 305074474 457611711 915223422 1372835133 1982984081 2745670266 3965968162 4118505399 5948952243 8237010798 11897904486 12355516197 17846856729 24711032394 35693713458 53540570187 107081140374 160621710561 321243421122