Search a number
-
+
1132100112 = 24311132371101
BaseRepresentation
bin100001101111010…
…0111101000010000
32220220020122101210
41003132213220100
54304304200422
6304200500120
740024456263
oct10336475020
92826218353
101132100112
1153104a630
1227717a640
1315070c830
14aa4d6cda
15695c710c
hex437a7a10

1132100112 has 320 divisors, whose sum is σ = 3671764992. Its totient is φ = 295680000.

The previous prime is 1132100111. The next prime is 1132100117. The reversal of 1132100112 is 2110012311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1132100111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11208862 + ... + 11208962.

Almost surely, 21132100112 is an apocalyptic number.

1132100112 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 1132100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835882496).

1132100112 is an abundant number, since it is smaller than the sum of its proper divisors (2539664880).

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

1132100112 is a wasteful number, since it uses less digits than its factorization.

1132100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1132100112 is about 33646.6954098021. The cubic root of 1132100112 is about 1042.2252992098.

Adding to 1132100112 its reverse (2110012311), we get a palindrome (3242112423).

It can be divided in two parts, 113 and 2100112, that added together give a triangular number (2100225 = T2049).

The spelling of 1132100112 in words is "one billion, one hundred thirty-two million, one hundred thousand, one hundred twelve".