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11233230984 = 23365213697
BaseRepresentation
bin10100111011000110…
…11000000010001000
31001222212022021000000
422131203120002020
5141001201342414
65054355043000
7545240613363
oct123543300210
931885267000
1011233230984
114844958778
122215ba0460
1310a0348451
14787c630da
1545b2aeb09
hex29d8d8088

11233230984 has 112 divisors (see below), whose sum is σ = 31648186620. Its totient is φ = 3736212480.

The previous prime is 11233230961. The next prime is 11233230989. The reversal of 11233230984 is 48903233211.

11233230984 is a `hidden beast` number, since 1 + 12 + 332 + 309 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9904628484 + 1328602500 = 99522^2 + 36450^2 .

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 (11233230989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3036624 + ... + 3040320.

Almost surely, 211233230984 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 11233230984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824093310).

11233230984 is an abundant number, since it is smaller than the sum of its proper divisors (20414955636).

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

11233230984 is an equidigital number, since it uses as much as digits as its factorization.

11233230984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11233230984 in words is "eleven billion, two hundred thirty-three million, two hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 521 648 729 972 1042 1458 1563 1944 2084 2916 3126 3697 4168 4689 5832 6252 7394 9378 11091 12504 14067 14788 18756 22182 28134 29576 33273 37512 42201 44364 56268 66546 84402 88728 99819 112536 126603 133092 168804 199638 253206 266184 299457 337608 379809 399276 506412 598914 759618 798552 898371 1012824 1197828 1519236 1796742 1926137 2395656 2695113 3038472 3593484 3852274 5390226 5778411 7186968 7704548 10780452 11556822 15409096 17335233 21560904 23113644 34670466 46227288 52005699 69340932 104011398 138681864 156017097 208022796 312034194 416045592 468051291 624068388 936102582 1248136776 1404153873 1872205164 2808307746 3744410328 5616615492 11233230984