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1082132174112 = 253111024746377
BaseRepresentation
bin11111011111101000001…
…10101001010100100000
310211110011122121011111120
433233310012221110200
5120212201314032422
62145042532012240
7141116146466463
oct17576406512440
93743148534446
101082132174112
11387a25445a40
12155883a61080
137b077074c32
143a5384452da
151d23700545c
hexfbf41a9520

1082132174112 has 48 divisors (see below), whose sum is σ = 3098833047072. Its totient is φ = 327918840320.

The previous prime is 1082132174087. The next prime is 1082132174113. The reversal of 1082132174112 is 2114712312801.

1082132174112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1082132174113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512372133 + ... + 512374244.

It is an arithmetic number, because the mean of its divisors is an integer number (64559021814).

Almost surely, 21082132174112 is an apocalyptic number.

1082132174112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1082132174112 is an abundant number, since it is smaller than the sum of its proper divisors (2016700872960).

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

1082132174112 is a wasteful number, since it uses less digits than its factorization.

1082132174112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024746401 (or 1024746393 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

Adding to 1082132174112 its reverse (2114712312801), we get a palindrome (3196844486913).

The spelling of 1082132174112 in words is "one trillion, eighty-two billion, one hundred thirty-two million, one hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1024746377 2049492754 3074239131 4098985508 6148478262 8197971016 11272210147 12296956524 16395942032 22544420294 24593913048 32791884064 33816630441 45088840588 49187826096 67633260882 90177681176 98375652192 135266521764 180355362352 270533043528 360710724704 541066087056 1082132174112