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1132033413210 = 235731326176581
BaseRepresentation
bin10000011110010010011…
…100110001000001011010
311000012222100120202122020
4100132102130301001122
5122021401023210320
62224014324435310
7144533562150540
oct20362234610132
94005870522566
101132033413210
113a7102393507
1216348b848b36
138299a51614b
143cb0d9c7d90
151e6a7d8c940
hex1079273105a

1132033413210 has 128 divisors (see below), whose sum is σ = 3116589848064. Its totient is φ = 257786081280.

The previous prime is 1132033413167. The next prime is 1132033413229. The reversal of 1132033413210 is 123143302311.

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 63 ways as a sum of consecutive naturals, for example, 172012120 + ... + 172018700.

It is an arithmetic number, because the mean of its divisors is an integer number (24348358188).

Almost surely, 21132033413210 is an apocalyptic number.

1132033413210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132033413210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558294924032).

1132033413210 is an abundant number, since it is smaller than the sum of its proper divisors (1984556434854).

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

1132033413210 is a wasteful number, since it uses less digits than its factorization.

1132033413210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1132033413210 its reverse (123143302311), we get a palindrome (1255176715521).

The spelling of 1132033413210 in words is "one trillion, one hundred thirty-two billion, thirty-three million, four hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1878 2191 2617 3130 4382 4695 5234 6573 6581 7851 9390 10955 13085 13146 13162 15702 18319 19743 21910 26170 32865 32905 36638 39255 39486 46067 54957 65730 65810 78510 91595 92134 98715 109914 138201 183190 197430 230335 274785 276402 460670 549570 691005 819121 1382010 1638242 2059853 2457363 4095605 4119706 4914726 5733847 6179559 8191210 10299265 11467694 12286815 12359118 14418971 17201541 17222477 20598530 24573630 28669235 28837942 30897795 34403082 34444954 43256913 51667431 57338470 61795590 72094855 86007705 86112385 86513826 103334862 120557339 144189710 172015410 172224770 216284565 241114678 258337155 361672017 432569130 516674310 602786695 723344034 1205573390 1808360085 3616720170 5390635301 10781270602 16171905903 26953176505 32343811806 37734447107 53906353010 75468894214 80859529515 113203341321 161719059030 188672235535 226406682642 377344471070 566016706605 1132033413210