Search a number
-
+
3231213120 = 26345177333
BaseRepresentation
bin1100000010011000…
…0110011001000000
322100012002122010000
43000212012121000
523104142304440
61252344040000
7143033600262
oct30046063100
98305078100
103231213120
111408a32273
12762163000
133c6579a35
142291d1b32
1513da16730
hexc0986640

3231213120 has 280 divisors, whose sum is σ = 12171770424. Its totient is φ = 810860544.

The previous prime is 3231213101. The next prime is 3231213133. The reversal of 3231213120 is 213121323.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 3186376704 = 6696^2 + 56448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3231213093 and 3231213102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436974 + ... + 444306.

Almost surely, 23231213120 is an apocalyptic number.

3231213120 is a gapful number since it is divisible by the number (30) 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 3231213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085885212).

3231213120 is an abundant number, since it is smaller than the sum of its proper divisors (8940557304).

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

3231213120 is a wasteful number, since it uses less digits than its factorization.

3231213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3231213120 is about 56843.7606074756. The cubic root of 3231213120 is about 1478.3883600871.

Adding to 3231213120 its reverse (213121323), we get a palindrome (3444334443).

The spelling of 3231213120 in words is "three billion, two hundred thirty-one million, two hundred thirteen thousand, one hundred twenty".