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1132314120 = 233357197883
BaseRepresentation
bin100001101111101…
…1011111000001000
32220220122111222000
41003133123320020
54304333022440
6304205231000
740026340230
oct10337337010
92826574860
101132314120
115311863a3
12277262460
13150786072
14aa550cc0
156961a730
hex437dbe08

1132314120 has 256 divisors, whose sum is σ = 4541184000. Its totient is φ = 245161728.

The previous prime is 1132314107. The next prime is 1132314133. The reversal of 1132314120 is 214132311.

It is an interprime number because it is at equal distance from previous prime (1132314107) and next prime (1132314133).

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 = 1132314093 and 1132314102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139699 + ... + 147581.

It is an arithmetic number, because the mean of its divisors is an integer number (17739000).

Almost surely, 21132314120 is an apocalyptic number.

1132314120 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 1132314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270592000).

1132314120 is an abundant number, since it is smaller than the sum of its proper divisors (3408869880).

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

1132314120 is a wasteful number, since it uses less digits than its factorization.

1132314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7919 counting only the distinct ones).

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

The square root of 1132314120 is about 33649.8754826820. The cubic root of 1132314120 is about 1042.2909678718.

Adding to 1132314120 its reverse (214132311), we get a palindrome (1346446431).

The spelling of 1132314120 in words is "one billion, one hundred thirty-two million, three hundred fourteen thousand, one hundred twenty".