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1353530331132 = 2237193773108007
BaseRepresentation
bin10011101100100100101…
…100011100111111111100
311210101200212010000201220
4103230210230130333330
5134134012231044012
62513445300233340
7166534512661620
oct23544454347774
94711625100656
101353530331132
11482035649281
1219a3a669b850
139a8393933a5
1449722ad1180
152531d6b908c
hex13b24b1cffc

1353530331132 has 96 divisors (see below), whose sum is σ = 3632843031552. Its totient is φ = 384217952256.

The previous prime is 1353530331091. The next prime is 1353530331137. The reversal of 1353530331132 is 2311330353531.

It is a junction number, because it is equal to n+sod(n) for n = 1353530331093 and 1353530331102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353530331137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12477873 + ... + 12585879.

It is an arithmetic number, because the mean of its divisors is an integer number (37842114912).

Almost surely, 21353530331132 is an apocalyptic number.

1353530331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353530331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816421515776).

1353530331132 is an abundant number, since it is smaller than the sum of its proper divisors (2279312700420).

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

1353530331132 is a wasteful number, since it uses less digits than its factorization.

1353530331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108987 (or 108985 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 33.

Adding to 1353530331132 its reverse (2311330353531), we get a palindrome (3664860684663).

The spelling of 1353530331132 in words is "one trillion, three hundred fifty-three billion, five hundred thirty million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 773 1158 1351 1546 2316 2319 2702 3092 4053 4638 5404 5411 8106 9276 10822 16212 16233 21644 32466 64932 108007 149189 216014 298378 324021 432028 447567 596756 648042 756049 895134 1044323 1296084 1512098 1790268 2088646 2268147 3024196 3132969 4177292 4536294 6265938 9072588 12531876 20845351 41690702 62536053 83381404 83489411 125072106 145917457 166978822 250144212 250468233 291834914 333957644 437752371 500936466 583669828 584425877 875504742 1001872932 1168851754 1751009484 1753277631 2337703508 3506555262 7013110524 16113456323 32226912646 48340368969 64453825292 96680737938 112794194261 193361475876 225588388522 338382582783 451176777044 676765165566 1353530331132