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1132200013000 = 23537816119819
BaseRepresentation
bin10000011110011100011…
…000010010110011001000
311000020101222001220120211
4100132130120102303020
5122022221200404000
62224043035330504
7144540654215320
oct20363430226310
94006358056524
101132200013000
113a7188433391
121635175b0a34
13829c5ba78c4
143cb27b94280
151e6b77ea7ba
hex1079c612cc8

1132200013000 has 128 divisors (see below), whose sum is σ = 3028350124800. Its totient is φ = 388115712000.

The previous prime is 1132200012997. The next prime is 1132200013067. The reversal of 1132200013000 is 3100022311.

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 31 ways as a sum of consecutive naturals, for example, 57117091 + ... + 57136909.

It is an arithmetic number, because the mean of its divisors is an integer number (23658985350).

Almost surely, 21132200013000 is an apocalyptic number.

1132200013000 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 1132200013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514175062400).

1132200013000 is an abundant number, since it is smaller than the sum of its proper divisors (1896150111800).

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

1132200013000 is a wasteful number, since it uses less digits than its factorization.

1132200013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28008 (or 27994 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1132200013000 its reverse (3100022311), we get a palindrome (1135300035311).

The spelling of 1132200013000 in words is "one trillion, one hundred thirty-two billion, two hundred million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 8161 16322 19819 32644 39638 40805 57127 65288 79276 81610 99095 114254 138733 158552 163220 198190 204025 228508 277466 285635 326440 396380 408050 457016 495475 554932 571270 693665 792760 816100 990950 1020125 1109864 1142540 1387330 1428175 1632200 1981900 2040250 2285080 2477375 2774660 2856350 3468325 3963800 4080500 4954750 5549320 5712700 6936650 7140875 8161000 9909500 11425400 13873300 14281750 17341625 19819000 27746600 28563500 34683250 57127000 69366500 138733000 161742859 323485718 646971436 808714295 1132200013 1293942872 1617428590 2264400026 3234857180 4043571475 4528800052 5661000065 6469714360 8087142950 9057600104 11322000130 16174285900 20217857375 22644000260 28305000325 32348571800 40435714750 45288000520 56610000650 80871429500 113220001300 141525001625 161742859000 226440002600 283050003250 566100006500 1132200013000