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1130230221984 = 25335324681827
BaseRepresentation
bin10000011100100110111…
…110001000110010100000
311000001022200120011022000
4100130212332020302200
5122004202414100414
62223115352044000
7144441105242343
oct20344676106240
94001280504260
101130230221984
113a636754a226
12163067993600
1382770a796a6
143c9bc32045a
151e5ee903b09
hex10726f88ca0

1130230221984 has 96 divisors (see below), whose sum is σ = 3358703154240. Its totient is φ = 369635026176.

The previous prime is 1130230221977. The next prime is 1130230222027. The reversal of 1130230221984 is 4891220320311.

1130230221984 is a `hidden beast` number, since 1 + 130 + 2 + 302 + 219 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12295122 + ... + 12386705.

It is an arithmetic number, because the mean of its divisors is an integer number (34986491190).

Almost surely, 21130230221984 is an apocalyptic number.

It is an amenable number.

1130230221984 is an abundant number, since it is smaller than the sum of its proper divisors (2228472932256).

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

1130230221984 is a wasteful number, since it uses less digits than its factorization.

1130230221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24681899 (or 24681885 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1130230221984 in words is "one trillion, one hundred thirty billion, two hundred thirty million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 5088 5724 7632 11448 15264 22896 45792 24681827 49363654 74045481 98727308 148090962 197454616 222136443 296181924 394909232 444272886 592363848 666409329 789818464 888545772 1184727696 1308136831 1332818658 1777091544 2369455392 2616273662 2665637316 3554183088 3924410493 5232547324 5331274632 7108366176 7848820986 10465094648 10662549264 11773231479 15697641972 20930189296 21325098528 23546462958 31395283944 35319694437 41860378592 47092925916 62790567888 70639388874 94185851832 125581135776 141278777748 188371703664 282557555496 376743407328 565115110992 1130230221984