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321411234211431 = 371331162123428997
BaseRepresentation
bin100100100010100100110001…
…0011100010010011001100111
31120011000121120112112221220120
41021011021202130102121213
5314112000201424231211
63055330141013133023
7124462124003421030
oct11105114234223147
91504017515487816
10321411234211431
11934588145a2101
123006b79802a173
1310a45c458c21b0
14595255b2d9a87
15272599cc59d06
hex1245262712667

321411234211431 has 64 divisors (see below), whose sum is σ = 544794303062016. Its totient is φ = 163965485606400.

The previous prime is 321411234211423. The next prime is 321411234211447. The reversal of 321411234211431 is 134112432114123.

It is not a de Polignac number, because 321411234211431 - 23 = 321411234211423 is a prime.

It is a super-2 number, since 2×3214112342114312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321411234211392 and 321411234211401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321411234211421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2004025 + ... + 25433021.

It is an arithmetic number, because the mean of its divisors is an integer number (8512410985344).

Almost surely, 2321411234211431 is an apocalyptic number.

321411234211431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

321411234211431 is a deficient number, since it is larger than the sum of its proper divisors (223383068850585).

321411234211431 is a wasteful number, since it uses less digits than its factorization.

321411234211431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23430672.

The product of its digits is 13824, while the sum is 33.

Adding to 321411234211431 its reverse (134112432114123), we get a palindrome (455523666325554).

The spelling of 321411234211431 in words is "three hundred twenty-one trillion, four hundred eleven billion, two hundred thirty-four million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 1621 2821 4863 8463 11347 21073 34041 50251 63219 147511 150753 351757 442533 653263 1055271 1959789 4572841 13718523 23428997 70286991 164002979 304576961 492008937 726298907 913730883 2132038727 2178896721 5084092349 6396116181 9441885791 15252277047 28325657373 37978404137 66093200537 113935212411 198279601611 265848828959 493719253781 797546486877 1177330528247 1481157761343 3456034776467 3531991584741 8241313697729 10368104329401 15305296867211 24723941093187 45915890601633 107137078070477 321411234211431