Search a number
-
+
111032130312 = 233211359922783
BaseRepresentation
bin110011101101000000…
…1111101101100001000
3101121121000112121222200
41213122001331230020
53304343211132222
6123001335520200
711010323351505
oct1473201755410
9347530477880
10111032130312
11430a7819974
1219628529060
13a6162a68bc
1455342d64ac
152d4ca23eac
hex19da07db08

111032130312 has 96 divisors (see below), whose sum is σ = 303892992000. Its totient is φ = 36620333568.

The previous prime is 111032130301. The next prime is 111032130317. The reversal of 111032130312 is 213031230111.

111032130312 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 321 + 30 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111032130317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4862073 + ... + 4884855.

It is an arithmetic number, because the mean of its divisors is an integer number (3165552000).

Almost surely, 2111032130312 is an apocalyptic number.

111032130312 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 111032130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151946496000).

111032130312 is an abundant number, since it is smaller than the sum of its proper divisors (192860861688).

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

111032130312 is a wasteful number, since it uses less digits than its factorization.

111032130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111032130312 its reverse (213031230111), we get a palindrome (324063360423).

It can be divided in two parts, 11103 and 2130312, that added together give a triangular number (2141415 = T2069).

The spelling of 111032130312 in words is "one hundred eleven billion, thirty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 599 678 904 1017 1198 1356 1797 2034 2396 2712 3594 4068 4792 5391 7188 8136 10782 14376 21564 22783 43128 45566 67687 68349 91132 135374 136698 182264 203061 205047 270748 273396 406122 410094 541496 546792 609183 812244 820188 1218366 1624488 1640376 2436732 2574479 4873464 5148958 7723437 10297916 13647017 15446874 20595832 23170311 27294034 30893748 40941051 46340622 54588068 61787496 81882102 92681244 109176136 122823153 163764204 185362488 245646306 327528408 491292612 982585224 1542112921 3084225842 4626338763 6168451684 9252677526 12336903368 13879016289 18505355052 27758032578 37010710104 55516065156 111032130312