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1132013133312 = 2935091447913
BaseRepresentation
bin10000011110010001001…
…111011001111000000000
311000012220221102102211220
4100132101033121320000
5122021330330231222
62224012322035040
7144533224604505
oct20362117317000
94005827372756
101132013133312
113a70a19a1966
12163484aa8a80
13829962654c9
143cb0b0294ac
151e6a61d3b5c
hex107913d9e00

1132013133312 has 80 divisors (see below), whose sum is σ = 3021680684880. Its totient is φ = 376596119552.

The previous prime is 1132013133257. The next prime is 1132013133373. The reversal of 1132013133312 is 2133313102311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57868 + ... + 1505780.

It is an arithmetic number, because the mean of its divisors is an integer number (37771008561).

Almost surely, 21132013133312 is an apocalyptic number.

1132013133312 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 1132013133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510840342440).

1132013133312 is an abundant number, since it is smaller than the sum of its proper divisors (1889667551568).

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

1132013133312 is an equidigital number, since it uses as much as digits as its factorization.

1132013133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448443 (or 1448427 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1132013133312 its reverse (2133313102311), we get a palindrome (3265326235623).

The spelling of 1132013133312 in words is "one trillion, one hundred thirty-two billion, thirteen million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 509 512 768 1018 1527 1536 2036 3054 4072 6108 8144 12216 16288 24432 32576 48864 65152 97728 130304 195456 260608 390912 781824 1447913 2895826 4343739 5791652 8687478 11583304 17374956 23166608 34749912 46333216 69499824 92666432 138999648 185332864 277999296 370665728 555998592 736987717 741331456 1111997184 1473975434 2210963151 2223994368 2947950868 4421926302 5895901736 8843852604 11791803472 17687705208 23583606944 35375410416 47167213888 70750820832 94334427776 141501641664 188668855552 283003283328 377337711104 566006566656 1132013133312