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123211331310320 = 245113722923370921
BaseRepresentation
bin11100000000111101011111…
…101000101001001011110000
3121011020212222112012012102222
4130000331133220221023300
5112122143301303412240
61114014300523500212
734644503436014351
oct3400753750511360
9534225875165388
10123211331310320
11362936a5459260
121199b221687668
135399a17a14696
14225d662d1bd28
15e3a022003eb5
hex700f5fa292f0

123211331310320 has 320 divisors, whose sum is σ = 323744541344640. Its totient is φ = 43215947366400.

The previous prime is 123211331310317. The next prime is 123211331310341. The reversal of 123211331310320 is 23013133112321.

It is a super-2 number, since 2×1232113313103202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123211331310320.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1737268460 + ... + 1737339380.

It is an arithmetic number, because the mean of its divisors is an integer number (1011701691702).

Almost surely, 2123211331310320 is an apocalyptic number.

123211331310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123211331310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161872270672320).

123211331310320 is an abundant number, since it is smaller than the sum of its proper divisors (200533210034320).

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

123211331310320 is a wasteful number, since it uses less digits than its factorization.

123211331310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71444 (or 71438 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 123211331310320 its reverse (23013133112321), we get a palindrome (146224464422641).

The spelling of 123211331310320 in words is "one hundred twenty-three trillion, two hundred eleven billion, three hundred thirty-one million, three hundred ten thousand, three hundred twenty".