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1132231410135 = 325717533989329
BaseRepresentation
bin10000011110011110010…
…000000100000111010111
311000020111011011001100200
4100132132100010013113
5122022302220111020
62224050120311543
7144541515123210
oct20363620040727
94006434131320
101132231410135
113a71a4128531
121635260125b3
13829cc54b7a7
143cb2c008407
151e6ba44d590
hex1079e4041d7

1132231410135 has 96 divisors (see below), whose sum is σ = 2419640346240. Its totient is φ = 477953409024.

The previous prime is 1132231410133. The next prime is 1132231410143. The reversal of 1132231410135 is 5310141322311.

1132231410135 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 231 + 410 + 13 + 5 = 666.

It is not a de Polignac number, because 1132231410135 - 21 = 1132231410133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132231410099 and 1132231410108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132231410133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1710850 + ... + 2278479.

It is an arithmetic number, because the mean of its divisors is an integer number (25204586940).

Almost surely, 21132231410135 is an apocalyptic number.

1132231410135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1132231410135 is an abundant number, since it is smaller than the sum of its proper divisors (1287408936105).

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

1132231410135 is a wasteful number, since it uses less digits than its factorization.

1132231410135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989417 (or 3989414 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1132231410135 its reverse (5310141322311), we get a palindrome (6442372732446).

The spelling of 1132231410135 in words is "one trillion, one hundred thirty-two billion, two hundred thirty-one million, four hundred ten thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 53 63 85 105 119 153 159 255 265 315 357 371 477 595 765 795 901 1071 1113 1785 1855 2385 2703 3339 4505 5355 5565 6307 8109 13515 16695 18921 31535 40545 56763 94605 283815 3989329 11967987 19946645 27925303 35903961 59839935 67818593 83775909 139626515 179519805 203455779 211434437 251327727 339092965 418879545 474730151 610367337 634303311 1017278895 1057172185 1256638635 1424190453 1480041059 1902909933 2373650755 3051836685 3171516555 3594385429 4272571359 4440123177 7120952265 7400205295 9514549665 10783156287 13320369531 17971927145 21362856795 22200615885 25160698003 32349468861 53915781435 66601847655 75482094009 125803490015 161747344305 226446282027 377410470045 1132231410135