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1132033244100 = 22352112314914799
BaseRepresentation
bin10000011110010010011…
…100000111101111000100
311000012222100021011122220
4100132102130013233010
5122021401002302400
62224014321052340
7144533560544523
oct20362234075704
94005870234586
101132033244100
113a7102288450
1216348b7870b0
138299a487195
143cb0d9824ba
151e6a7d577a0
hex10792707bc4

1132033244100 has 144 divisors (see below), whose sum is σ = 3728461363200. Its totient is φ = 262500444800.

The previous prime is 1132033244081. The next prime is 1132033244131. The reversal of 1132033244100 is 14423302311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7381500 + ... + 7533299.

It is an arithmetic number, because the mean of its divisors is an integer number (25892092800).

Almost surely, 21132033244100 is an apocalyptic number.

1132033244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132033244100 is an abundant number, since it is smaller than the sum of its proper divisors (2596428119100).

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

1132033244100 is a wasteful number, since it uses less digits than its factorization.

1132033244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914850 (or 14914843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1132033244100 its reverse (14423302311), we get a palindrome (1146456546411).

The spelling of 1132033244100 in words is "one trillion, one hundred thirty-two billion, thirty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 14914799 29829598 44744397 59659196 74573995 89488794 149147990 164062789 178977588 223721985 298295980 328125578 343040377 372869975 447443970 492188367 656251156 686080754 745739950 820313945 894887940 984376734 1029121131 1118609925 1372161508 1491479900 1640627890 1715201885 1968753468 2058242262 2237219850 2460941835 3281255780 3430403770 3773444147 4101569725 4116484524 4474439700 4921883670 5145605655 6860807540 7546888294 8203139450 8576009425 9843767340 10291211310 11320332441 12304709175 15093776588 16406278900 17152018850 18867220735 20582422620 22640664882 24609418350 25728028275 34304037700 37734441470 45281329764 49218836700 51456056550 56601662205 75468882940 94336103675 102912113100 113203324410 188672207350 226406648820 283008311025 377344414700 566016622050 1132033244100