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1142341203300 = 22352111823189887
BaseRepresentation
bin10000100111111000110…
…101110111010101100100
311001012120201111202101120
4100213320311313111210
5122204003322001200
62232441224253540
7145350165005643
oct20477065672544
94035521452346
101142341203300
114005119127a0
121654879112b0
1383950bcb11b
143d40a98b35a
151eaacc979a0
hex109f8d77564

1142341203300 has 144 divisors (see below), whose sum is σ = 3607641096192. Its totient is φ = 276777833600.

The previous prime is 1142341203299. The next prime is 1142341203317. The reversal of 1142341203300 is 33021432411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5920957 + ... + 6110843.

It is an arithmetic number, because the mean of its divisors is an integer number (25053063168).

Almost surely, 21142341203300 is an apocalyptic number.

1142341203300 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 1142341203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803820548096).

1142341203300 is an abundant number, since it is smaller than the sum of its proper divisors (2465299892892).

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

1142341203300 is a wasteful number, since it uses less digits than its factorization.

1142341203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191738 (or 191731 counting only the distinct ones).

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

Adding to 1142341203300 its reverse (33021432411), we get a palindrome (1175362635711).

The spelling of 1142341203300 in words is "one trillion, one hundred forty-two billion, three hundred forty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1823 3300 3646 5469 7292 9115 10938 18230 20053 21876 27345 36460 40106 45575 54690 60159 80212 91150 100265 109380 120318 136725 182300 189887 200530 240636 273450 300795 379774 401060 501325 546900 569661 601590 759548 949435 1002650 1139322 1203180 1503975 1898870 2005300 2088757 2278644 2848305 3007950 3797740 4177514 4747175 5696610 6015900 6266271 8355028 9494350 10443785 11393220 12532542 14241525 18988700 20887570 25065084 28483050 31331355 41775140 52218925 56966100 62662710 104437850 125325420 156656775 208875700 313313550 346164001 626627100 692328002 1038492003 1384656004 1730820005 2076984006 3461640010 3807804011 4153968012 5192460015 6923280020 7615608022 8654100025 10384920030 11423412033 15231216044 17308200050 19039020055 20769840060 22846824066 25962300075 34616400100 38078040110 45693648132 51924600150 57117060165 76156080220 95195100275 103849200300 114234120330 190390200550 228468240660 285585300825 380780401100 571170601650 1142341203300