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11233131132 = 22319445111069
BaseRepresentation
bin10100111011000101…
…11111101001111100
31001222212010012000210
422131202333221330
5141001140144012
65054352552420
7545240016306
oct123542775174
931885105023
1011233131132
11484489a753
122215b52710
1310a0311b72
14787c38976
1545b29023c
hex29d8bfa7c

11233131132 has 48 divisors (see below), whose sum is σ = 27598838400. Its totient is φ = 3546187200.

The previous prime is 11233131131. The next prime is 11233131137. The reversal of 11233131132 is 23113133211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11233131099 and 11233131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233131131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009294 + ... + 1020362.

It is an arithmetic number, because the mean of its divisors is an integer number (574975800).

Almost surely, 211233131132 is an apocalyptic number.

11233131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11233131132 is an abundant number, since it is smaller than the sum of its proper divisors (16365707268).

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

11233131132 is a wasteful number, since it uses less digits than its factorization.

11233131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15546 (or 15544 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11233131132 its reverse (23113133211), we get a palindrome (34346264343).

The spelling of 11233131132 in words is "eleven billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 4451 8902 11069 13353 17804 22138 26706 33207 44276 53412 66414 84569 132828 169138 210311 253707 338276 420622 507414 630933 841244 1014828 1261866 2523732 49268119 98536238 147804357 197072476 295608714 591217428 936094261 1872188522 2808282783 3744377044 5616565566 11233131132