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11332144131 = 3711832392473
BaseRepresentation
bin10101000110111001…
…01100110000000011
31002020202102120022220
422203130230300003
5141202012103011
65112251102123
7550551431040
oct124334546003
932222376286
1011332144131
114895777680
122243141943
1310b799b339
147970501c7
15464cec506
hex2a372cc03

11332144131 has 64 divisors (see below), whose sum is σ = 19152322560. Its totient is φ = 5789226240.

The previous prime is 11332144063. The next prime is 11332144133. The reversal of 11332144131 is 13144123311.

It is a happy number.

It is not a de Polignac number, because 11332144131 - 29 = 11332143619 is a prime.

It is a super-2 number, since 2×113321441312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332144133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4581111 + ... + 4583583.

It is an arithmetic number, because the mean of its divisors is an integer number (299255040).

Almost surely, 211332144131 is an apocalyptic number.

11332144131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11332144131 is a deficient number, since it is larger than the sum of its proper divisors (7820178429).

11332144131 is a wasteful number, since it uses less digits than its factorization.

11332144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816.

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

Adding to 11332144131 its reverse (13144123311), we get a palindrome (24476267442).

The spelling of 11332144131 in words is "eleven billion, three hundred thirty-two million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 83 231 239 249 581 717 913 1673 1743 2473 2629 2739 5019 6391 7419 7887 17311 18403 19173 19837 27203 51933 55209 59511 81609 138859 190421 205259 218207 416577 571263 591047 615777 654621 1436813 1527449 1773141 2257849 4137329 4310439 4582347 6501517 6773547 12411987 15804943 19504551 45510619 47414829 49056901 136531857 147170703 343398307 539625911 1030194921 1618877733 3777381377 11332144131