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1143200113341 = 311213317814669
BaseRepresentation
bin10000101000101100000…
…010010110001010111101
311001021210120200220110120
4100220230002112022331
5122212233212111331
62233102345525153
7145410364426566
oct20505402261275
94037716626416
101143200113341
1140091272a600
121656874a37b9
1383a59b38b10
143d48ca8d16d
151eb0d3a9796
hex10a2c0962bd

1143200113341 has 48 divisors (see below), whose sum is σ = 1862517189120. Its totient is φ = 618921705600.

The previous prime is 1143200113331. The next prime is 1143200113343. The reversal of 1143200113341 is 1433110023411.

It is a happy number.

It is not a de Polignac number, because 1143200113341 - 210 = 1143200112317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143200113343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3761046 + ... + 4053623.

It is an arithmetic number, because the mean of its divisors is an integer number (38802441440).

Almost surely, 21143200113341 is an apocalyptic number.

1143200113341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1143200113341 is a deficient number, since it is larger than the sum of its proper divisors (719317075779).

1143200113341 is a wasteful number, since it uses less digits than its factorization.

1143200113341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814738 (or 7814727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1143200113341 its reverse (1433110023411), we get a palindrome (2576310136752).

The spelling of 1143200113341 in words is "one trillion, one hundred forty-three billion, two hundred million, one hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 11 13 31 33 39 93 121 143 341 363 403 429 1023 1209 1573 3751 4433 4719 11253 13299 48763 146289 7814669 23444007 85961359 101590697 242254739 257884077 304772091 726764217 945574949 1117497667 2664802129 2836724847 3149311607 3352493001 7994406387 9447934821 12292474337 29312823419 34642427677 36877423011 87938470257 103927283031 381066704447 1143200113341