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11233074330 = 234597142969
BaseRepresentation
bin10100111011000101…
…10001110010011010
31001222212000022010000
422131202301302122
5141001131334310
65054351433430
7545236361562
oct123542616232
931885008100
1011233074330
114844861005
122215b25876
1310a02c205a
14787c21da2
1545b27d4c0
hex29d8b1c9a

11233074330 has 80 divisors (see below), whose sum is σ = 30516088680. Its totient is φ = 2964584448.

The previous prime is 11233074317. The next prime is 11233074331. The reversal of 11233074330 is 3347033211.

11233074330 is a `hidden beast` number, since 1 + 1 + 23 + 307 + 4 + 330 = 666.

11233074330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5437145169 + 5795929161 = 73737^2 + 76131^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11233074294 and 11233074303.

It is not an unprimeable number, because it can be changed into a prime (11233074331) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7086 + ... + 150054.

Almost surely, 211233074330 is an apocalyptic number.

11233074330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233074330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258044340).

11233074330 is an abundant number, since it is smaller than the sum of its proper divisors (19283014350).

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

11233074330 is a wasteful number, since it uses less digits than its factorization.

11233074330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143085 (or 143076 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 11233074330 in words is "eleven billion, two hundred thirty-three million, seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7857 8730 13095 15714 26190 39285 78570 142969 285938 428907 714845 857814 1286721 1429690 2144535 2573442 3860163 4289070 6433605 7720326 11580489 12867210 13867993 19300815 23160978 27735986 38601630 41603979 57902445 69339965 83207958 115804890 124811937 138679930 208019895 249623874 374435811 416039790 624059685 748871622 1123307433 1248119370 1872179055 2246614866 3744358110 5616537165 11233074330