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133355231352 = 233271032568871
BaseRepresentation
bin111110000110010010…
…1110101100001111000
3110202012202101122202200
41330030211311201320
54141102414400402
6141132413230200
712430444522650
oct1741445654170
9422182348680
10133355231352
1151612608102
1221a18492360
13c763054425
146650d41360
1537076c621c
hex1f0c975878

133355231352 has 96 divisors (see below), whose sum is σ = 416773793280. Its totient is φ = 37731562560.

The previous prime is 133355231333. The next prime is 133355231357. The reversal of 133355231352 is 253132553331.

It is a happy number.

133355231352 is a `hidden beast` number, since 1 + 3 + 335 + 5 + 2 + 313 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133355231357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232524 + ... + 1336347.

It is an arithmetic number, because the mean of its divisors is an integer number (4341393680).

Almost surely, 2133355231352 is an apocalyptic number.

133355231352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133355231352 is an abundant number, since it is smaller than the sum of its proper divisors (283418561928).

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

133355231352 is a wasteful number, since it uses less digits than its factorization.

133355231352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568993 (or 2568986 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

Adding to 133355231352 its reverse (253132553331), we get a palindrome (386487784683).

The spelling of 133355231352 in words is "one hundred thirty-three billion, three hundred fifty-five million, two hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 412 504 618 721 824 927 1236 1442 1854 2163 2472 2884 3708 4326 5768 6489 7416 8652 12978 17304 25956 51912 2568871 5137742 7706613 10275484 15413226 17982097 20550968 23119839 30826452 35964194 46239678 53946291 61652904 71928388 92479356 107892582 143856776 161838873 184958712 215785164 264593713 323677746 431570328 529187426 647355492 793781139 1058374852 1294710984 1587562278 1852155991 2116749704 2381343417 3175124556 3704311982 4762686834 5556467973 6350249112 7408623964 9525373668 11112935946 14817247928 16669403919 19050747336 22225871892 33338807838 44451743784 66677615676 133355231352