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1143202005 = 35511233719
BaseRepresentation
bin100010000100011…
…1110000011010101
32221200010200100000
41010020332003111
54320124431010
6305234441513
740221025311
oct10410760325
92850120300
101143202005
11537342650
1227aa33299
13152ac8aba
14abb86b41
156a56b7c0
hex4423e0d5

1143202005 has 96 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 530038080.

The previous prime is 1143202003. The next prime is 1143202033. The reversal of 1143202005 is 5002023411.

It is not a de Polignac number, because 1143202005 - 21 = 1143202003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305536 + ... + 309254.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 21143202005 is an apocalyptic number.

1143202005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1143202005 is an abundant number, since it is smaller than the sum of its proper divisors (1196648235).

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

1143202005 is a wasteful number, since it uses less digits than its factorization.

1143202005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1143202005 is about 33811.2703842964. The cubic root of 1143202005 is about 1045.6210695741.

Adding to 1143202005 its reverse (5002023411), we get a palindrome (6145225416).

The spelling of 1143202005 in words is "one billion, one hundred forty-three million, two hundred two thousand, five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 135 165 207 243 253 297 345 405 495 621 759 891 1035 1215 1265 1485 1863 2277 2673 3105 3719 3795 4455 5589 6831 9315 11157 11385 13365 18595 20493 27945 33471 34155 40909 55785 61479 85537 100413 102465 122727 167355 204545 256611 301239 307395 368181 427685 502065 613635 769833 903717 940907 1104543 1283055 1506195 1840905 2309499 2822721 3313629 3849165 4518585 4704535 5522715 6928497 8468163 9940887 11547495 14113605 16568145 20785491 25404489 34642485 42340815 49704435 76213467 103927455 127022445 228640401 381067335 1143202005