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1132410130400 = 255237127301237
BaseRepresentation
bin10000011110101000111…
…001110100111111100000
311000020221121102222110202
4100132220321310333200
5122023133443133100
62224115543044332
7144546115201433
oct20365071647740
94006847388422
101132410130400
113a7285aa672a
12163575a406a8
1382a2a595023
143cb47a4b81a
151e6caea27d5
hex107a8e74fe0

1132410130400 has 144 divisors (see below), whose sum is σ = 2861577847296. Its totient is φ = 437250078720.

The previous prime is 1132410130351. The next prime is 1132410130409. The reversal of 1132410130400 is 40310142311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132410130409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3608582 + ... + 3909818.

It is an arithmetic number, because the mean of its divisors is an integer number (19872068384).

Almost surely, 21132410130400 is an apocalyptic number.

1132410130400 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 1132410130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430788923648).

1132410130400 is an abundant number, since it is smaller than the sum of its proper divisors (1729167716896).

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

1132410130400 is a wasteful number, since it uses less digits than its factorization.

1132410130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301421 (or 301408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1132410130400 its reverse (40310142311), we get a palindrome (1172720272711).

The spelling of 1132410130400 in words is "one trillion, one hundred thirty-two billion, four hundred ten million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 127 148 160 185 200 254 296 370 400 508 592 635 740 800 925 1016 1184 1270 1480 1850 2032 2540 2960 3175 3700 4064 4699 5080 5920 6350 7400 9398 10160 12700 14800 18796 20320 23495 25400 29600 37592 46990 50800 75184 93980 101600 117475 150368 187960 234950 301237 375920 469900 602474 751840 939800 1204948 1506185 1879600 2409896 3012370 3759200 4819792 6024740 7530925 9639584 11145769 12049480 15061850 22291538 24098960 30123700 38257099 44583076 48197920 55728845 60247400 76514198 89166152 111457690 120494800 153028396 178332304 191285495 222915380 240989600 278644225 306056792 356664608 382570990 445830760 557288450 612113584 765141980 891661520 956427475 1114576900 1224227168 1415512663 1530283960 1783323040 1912854950 2229153800 2831025326 3060567920 3825709900 4458307600 5662050652 6121135840 7077563315 7651419800 8916615200 11324101304 14155126630 15302839600 22648202608 28310253260 30605679200 35387816575 45296405216 56620506520 70775633150 113241013040 141551266300 226482026080 283102532600 566205065200 1132410130400