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1121312032 = 2543829983
BaseRepresentation
bin100001011010101…
…1101110100100000
32220010221112221021
41002311131310200
54244023441112
6303133335224
736533665201
oct10265356440
92803845837
101121312032
11525a51365
12273637514
1314b403359
14a8cc95a8
1568695907
hex42d5dd20

1121312032 has 48 divisors (see below), whose sum is σ = 2263947840. Its totient is φ = 546400512.

The previous prime is 1121312021. The next prime is 1121312033. The reversal of 1121312032 is 2302131211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1121311997 and 1121312015.

It is not an unprimeable number, because it can be changed into a prime (1121312033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1140213 + ... + 1141195.

It is an arithmetic number, because the mean of its divisors is an integer number (47165580).

Almost surely, 21121312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131973920).

1121312032 is an abundant number, since it is smaller than the sum of its proper divisors (1142635808).

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

1121312032 is an equidigital number, since it uses as much as digits as its factorization.

1121312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1121312032 is about 33485.9975512153. The cubic root of 1121312032 is about 1038.9041810775.

Adding to 1121312032 its reverse (2302131211), we get a palindrome (3423443243).

The spelling of 1121312032 in words is "one billion, one hundred twenty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 829 983 1376 1658 1966 3316 3932 6632 7864 13264 15728 26528 31456 35647 42269 71294 84538 142588 169076 285176 338152 570352 676304 814907 1140704 1352608 1629814 3259628 6519256 13038512 26077024 35041001 70082002 140164004 280328008 560656016 1121312032