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1089321230008 = 231141212375953
BaseRepresentation
bin11111101101000001001…
…10101101111010111000
310212010201200002001020001
433312200212231322320
5120321412213330013
62152232142242344
7141462252452224
oct17664046557270
93763650061201
101089321230008
1138aa84488050
1215714b5863b4
137b9515a296b
143aa1b135784
151d508215ddd
hexfda09adeb8

1089321230008 has 96 divisors (see below), whose sum is σ = 2286058067280. Its totient is φ = 482597683200.

The previous prime is 1089321230003. The next prime is 1089321230017. The reversal of 1089321230008 is 8000321239801.

It is a super-2 number, since 2×10893212300082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089321230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182983960 + ... + 182989912.

Almost surely, 21089321230008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089321230008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143029033640).

1089321230008 is an abundant number, since it is smaller than the sum of its proper divisors (1196736837272).

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

1089321230008 is a wasteful number, since it uses less digits than its factorization.

1089321230008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Adding to 1089321230008 its reverse (8000321239801), we get a palindrome (9089642469809).

The spelling of 1089321230008 in words is "one trillion, eighty-nine billion, three hundred twenty-one million, two hundred thirty thousand, eight".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1237 1681 1804 2474 3362 3608 4948 5953 6724 9896 11906 13448 13607 18491 23812 27214 36982 47624 50717 54428 65483 73964 101434 108856 130966 147928 202868 244073 261932 405736 488146 523864 557887 976292 1115774 1952584 2079397 2231548 2684803 4158794 4463096 5369606 7363861 8317588 10006993 10739212 14727722 16635176 20013986 21478424 22873367 29455444 40027972 45746734 58910888 80055944 81002471 91493468 110076923 162004942 182986936 220153846 301918301 324009884 440307692 603836602 648019768 880615384 1207673204 2415346408 3321101311 6642202622 12378650341 13284405244 24757300682 26568810488 49514601364 99029202728 136165153751 272330307502 544660615004 1089321230008