Search a number
-
+
1110132120 = 233541922079
BaseRepresentation
bin100001000101011…
…0100010110011000
32212100220112222110
41002022310112120
54233143211440
6302053552320
736336652536
oct10212642630
92770815873
101110132120
1151a705769
1226b9456a0
13148cba716
14a7619156
15676d8080
hex422b4598

1110132120 has 64 divisors (see below), whose sum is σ = 3338496000. Its totient is φ = 295315328.

The previous prime is 1110132119. The next prime is 1110132157. The reversal of 1110132120 is 212310111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110132096 and 1110132105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39241 + ... + 61319.

It is an arithmetic number, because the mean of its divisors is an integer number (52164000).

Almost surely, 21110132120 is an apocalyptic number.

1110132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110132120 is an abundant number, since it is smaller than the sum of its proper divisors (2228363880).

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

1110132120 is a wasteful number, since it uses less digits than its factorization.

1110132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22512 (or 22508 counting only the distinct ones).

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

The square root of 1110132120 is about 33318.6452305612. The cubic root of 1110132120 is about 1035.4398839658.

Adding to 1110132120 its reverse (212310111), we get a palindrome (1322442231).

The spelling of 1110132120 in words is "one billion, one hundred ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 22079 25140 44158 50280 66237 88316 110395 132474 176632 220790 264948 331185 441580 529896 662370 883160 1324740 2649480 9251101 18502202 27753303 37004404 46255505 55506606 74008808 92511010 111013212 138766515 185022020 222026424 277533030 370044040 555066060 1110132120