Search a number
-
+
1312211024124 = 22371113174722909
BaseRepresentation
bin10011000110000101110…
…111110011100011111100
311122110001020112202020220
4103012011313303203330
5132444402010232444
62442453232141340
7163542545445660
oct23060567634374
94573036482226
101312211024124
11466561a06370
12192394997850
1396982ba5cc0
14477232188a0
1524200e7b619
hex13185df38fc

1312211024124 has 576 divisors, whose sum is σ = 4448917509120. Its totient is φ = 289709383680.

The previous prime is 1312211024023. The next prime is 1312211024149. The reversal of 1312211024124 is 4214201122131.

It is a junction number, because it is equal to n+sod(n) for n = 1312211024094 and 1312211024103.

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 191 ways as a sum of consecutive naturals, for example, 451085182 + ... + 451088090.

It is an arithmetic number, because the mean of its divisors is an integer number (7723815120).

Almost surely, 21312211024124 is an apocalyptic number.

1312211024124 is a gapful number since it is divisible by the number (14) 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 1312211024124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224458754560).

1312211024124 is an abundant number, since it is smaller than the sum of its proper divisors (3136706484996).

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

1312211024124 is a wasteful number, since it uses less digits than its factorization.

1312211024124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1312211024124 its reverse (4214201122131), we get a palindrome (5526412146255).

The spelling of 1312211024124 in words is "one trillion, three hundred twelve billion, two hundred eleven million, twenty-four thousand, one hundred twenty-four".