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1132102001000 = 235310691059029
BaseRepresentation
bin10000011110010110100…
…010011010000101101000
311000020011010122101101202
4100132112202122011220
5122022021103013000
62224025214503332
7144535354143125
oct20362642320550
94006133571352
101132102001000
113a713807a533
121634aa804b48
13829ab7abc39
143cb18b5d74c
151e6addd9dd5
hex1079689a168

1132102001000 has 64 divisors (see below), whose sum is σ = 2651599314000. Its totient is φ = 452416761600.

The previous prime is 1132102000961. The next prime is 1132102001011. The reversal of 1132102001000 is 1002012311.

It can be written as a sum of positive squares in 8 ways, for example, as 76267659556 + 1055834341444 = 276166^2 + 1027538^2 .

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 15 ways as a sum of consecutive naturals, for example, 539486 + ... + 1598514.

Almost surely, 21132102001000 is an apocalyptic number.

1132102001000 is a gapful number since it is divisible by the number (10) 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 1132102001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325799657000).

1132102001000 is an abundant number, since it is smaller than the sum of its proper divisors (1519497313000).

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

1132102001000 is a wasteful number, since it uses less digits than its factorization.

1132102001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060119 (or 1060105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1132102001000 its reverse (1002012311), we get a palindrome (1133104013311).

The spelling of 1132102001000 in words is "one trillion, one hundred thirty-two billion, one hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1069 2138 4276 5345 8552 10690 21380 26725 42760 53450 106900 133625 213800 267250 534500 1059029 1069000 2118058 4236116 5295145 8472232 10590290 21180580 26475725 42361160 52951450 105902900 132378625 211805800 264757250 529514500 1059029000 1132102001 2264204002 4528408004 5660510005 9056816008 11321020010 22642040020 28302550025 45284080040 56605100050 113210200100 141512750125 226420400200 283025500250 566051000500 1132102001000