Search a number
-
+
1211312232 = 23361321229
BaseRepresentation
bin100100000110011…
…0010100001101000
310010102022001000000
41020030302201220
54440043442412
6320110343000
742005661354
oct11014624150
93112261000
101211312232
11571832899
122997baa60
13163c55400
14b6c36464
15715224dc
hex48332868

1211312232 has 168 divisors, whose sum is σ = 3690350550. Its totient is φ = 372408192.

The previous prime is 1211312231. The next prime is 1211312251. The reversal of 1211312232 is 2322131121.

1211312232 is a `hidden beast` number, since 121 + 1 + 312 + 232 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 984327876 + 226984356 = 31374^2 + 15066^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1211312231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 984994 + ... + 986222.

Almost surely, 21211312232 is an apocalyptic number.

1211312232 is a gapful number since it is divisible by the number (12) 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 1211312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845175275).

1211312232 is an abundant number, since it is smaller than the sum of its proper divisors (2479038318).

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

1211312232 is a wasteful number, since it uses less digits than its factorization.

1211312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1247 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1211312232 is about 34803.9111595234. The cubic root of 1211312232 is about 1065.9873089903.

Adding to 1211312232 its reverse (2322131121), we get a palindrome (3533443353).

The spelling of 1211312232 in words is "one billion, two hundred eleven million, three hundred twelve thousand, two hundred thirty-two".