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1002130313328 = 243231847218521
BaseRepresentation
bin11101001010100111001…
…11110001000001110000
310112210200011222112222200
432211103213301001300
5112404330330011303
62044212230303200
7132254503055034
oct16452347610160
93483604875880
101002130313328
11357001488921
121422774b7b00
137366773b181
14367093441c4
151b1037ba3a3
hexe9539f1070

1002130313328 has 60 divisors (see below), whose sum is σ = 2804673928368. Its totient is φ = 334031420160.

The previous prime is 1002130313323. The next prime is 1002130313377. The reversal of 1002130313328 is 8233130312001.

1002130313328 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 3 + 0 + 313 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002130313321) 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 11 ways as a sum of consecutive naturals, for example, 4476708 + ... + 4695228.

Almost surely, 21002130313328 is an apocalyptic number.

1002130313328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1002130313328 is an abundant number, since it is smaller than the sum of its proper divisors (1802543615040).

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

1002130313328 is a wasteful number, since it uses less digits than its factorization.

1002130313328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250382 (or 250373 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1002130313328 its reverse (8233130312001), we get a palindrome (9235260625329).

The spelling of 1002130313328 in words is "one trillion, two billion, one hundred thirty million, three hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31847 63694 95541 127388 191082 218521 254776 286623 382164 437042 509552 573246 655563 764328 874084 1146492 1311126 1528656 1748168 1966689 2292984 2622252 3496336 3933378 4585968 5244504 7866756 10489008 15733512 31467024 6959238287 13918476574 20877714861 27836953148 41755429722 55673906296 62633144583 83510859444 111347812592 125266289166 167021718888 250532578332 334043437776 501065156664 1002130313328