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1113332232132 = 2238311368463
BaseRepresentation
bin10000001100110111110…
…001011010111111000100
310221102201001000100000000
4100030313301122333010
5121220101022412012
62211242513321300
7143302260554661
oct20146761327704
93842631010000
101113332232132
1139a18602535a
1215b930866230
1380ca9c51a23
143bc57dd6a68
151de6117bddc
hex10337c5afc4

1113332232132 has 108 divisors (see below), whose sum is σ = 3016620146176. Its totient is φ = 359139167280.

The previous prime is 1113332232121. The next prime is 1113332232169. The reversal of 1113332232132 is 2312322333111.

1113332232132 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 332 + 2 + 321 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 1113332232096 and 1113332232105.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129333 + ... + 1497795.

Almost surely, 21113332232132 is an apocalyptic number.

1113332232132 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 1113332232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508310073088).

1113332232132 is an abundant number, since it is smaller than the sum of its proper divisors (1903287914044).

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

1113332232132 is an equidigital number, since it uses as much as digits as its factorization.

1113332232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368522 (or 1368499 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1113332232132 its reverse (2312322333111), we get a palindrome (3425654565243).

The spelling of 1113332232132 in words is "one trillion, one hundred thirteen billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2187 2511 2916 3348 4374 5022 6561 7533 8748 10044 13122 15066 22599 26244 30132 45198 67797 90396 135594 203391 271188 406782 813564 1368463 2736926 4105389 5473852 8210778 12316167 16421556 24632334 36948501 42422353 49264668 73897002 84844706 110845503 127267059 147794004 169689412 221691006 254534118 332536509 381801177 443382012 509068236 665073018 763602354 997609527 1145403531 1330146036 1527204708 1995219054 2290807062 2992828581 3436210593 3990438108 4581614124 5985657162 6872421186 8978485743 10308631779 11971314324 13744842372 17956971486 20617263558 30925895337 35913942972 41234527116 61851790674 92777686011 123703581348 185555372022 278333058033 371110744044 556666116066 1113332232132