Search a number
-
+
1121322312 = 2333111722371
BaseRepresentation
bin100001011010110…
…0000010101001000
32220010222002001000
41002311200111020
54244024303222
6303133455000
736534040155
oct10265402510
92803862030
101121322312
11525a59060
12273641460
1314b407c36
14a8ccd22c
15686989ac
hex42d60548

1121322312 has 384 divisors, whose sum is σ = 3819571200. Its totient is φ = 301593600.

The previous prime is 1121322299. The next prime is 1121322337. The reversal of 1121322312 is 2132231211.

1121322312 is a `hidden beast` number, since 11 + 21 + 322 + 312 = 666.

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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15793237 + ... + 15793307.

It is an arithmetic number, because the mean of its divisors is an integer number (9946800).

Almost surely, 21121322312 is an apocalyptic number.

1121322312 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 1121322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909785600).

1121322312 is an abundant number, since it is smaller than the sum of its proper divisors (2698248888).

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

1121322312 is a wasteful number, since it uses less digits than its factorization.

1121322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

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

The square root of 1121322312 is about 33486.1510478586. The cubic root of 1121322312 is about 1038.9073559007.

Adding to 1121322312 its reverse (2132231211), we get a palindrome (3253553523).

It can be divided in two parts, 11 and 21322312, that multiplied together give a palindrome (234545432).

The spelling of 1121322312 in words is "one billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twelve".