Search a number
-
+
1210131142220 = 22571121318892909
BaseRepresentation
bin10001100111000001011…
…011111101011001001100
311021200120010020110102002
4101213001123331121030
5124311322033022340
62323532050051432
7153300114663560
oct21470133753114
94250503213362
101210131142220
11427239533200
12176646579b78
138a165500810
14427dbc676a0
1521729350715
hex119c16fd64c

1210131142220 has 288 divisors, whose sum is σ = 3440913436800. Its totient is φ = 347865661440.

The previous prime is 1210131142211. The next prime is 1210131142237. The reversal of 1210131142220 is 222411310121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1210131142192 and 1210131142201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415994126 + ... + 415997034.

It is an arithmetic number, because the mean of its divisors is an integer number (11947616100).

Almost surely, 21210131142220 is an apocalyptic number.

1210131142220 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 1210131142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720456718400).

1210131142220 is an abundant number, since it is smaller than the sum of its proper divisors (2230782294580).

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

1210131142220 is a wasteful number, since it uses less digits than its factorization.

1210131142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1210131142220 its reverse (222411310121), we get a palindrome (1432542452341).

The spelling of 1210131142220 in words is "one trillion, two hundred ten billion, one hundred thirty-one million, one hundred forty-two thousand, two hundred twenty".