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11030674600 = 23521121014513
BaseRepresentation
bin10100100010111101…
…01011110010101000
31001110202011022212201
422101132223302220
5140042323041400
65022321345544
7540231121111
oct122136536250
931422138781
1011030674600
11475058a100
12217a1982b4
13106a3a76ba
14768db7208
154485ed06a
hex2917abca8

11030674600 has 144 divisors (see below), whose sum is σ = 28475169660. Its totient is φ = 3970560000.

The previous prime is 11030674579. The next prime is 11030674607. The reversal of 11030674600 is 647603011.

11030674600 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 6 ways, for example, as 3056541796 + 7974132804 = 55286^2 + 89298^2 .

It is not an unprimeable number, because it can be changed into a prime (11030674607) 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 35 ways as a sum of consecutive naturals, for example, 2441944 + ... + 2446456.

Almost surely, 211030674600 is an apocalyptic number.

11030674600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030674600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237584830).

11030674600 is an abundant number, since it is smaller than the sum of its proper divisors (17444495060).

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

11030674600 is a wasteful number, since it uses less digits than its factorization.

11030674600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 11030674600 in words is "eleven billion, thirty million, six hundred seventy-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4513 4840 5050 5555 6050 8888 9026 10100 11110 12100 12221 18052 20200 22220 22565 24200 24442 27775 36104 44440 45130 48884 49643 55550 61105 90260 97768 99286 111100 112825 122210 180520 198572 222200 225650 244420 248215 305525 397144 451300 455813 488840 496430 546073 611050 902600 911626 992860 1092146 1222100 1241075 1823252 1985720 2184292 2279065 2444200 2482150 2730365 3646504 4368584 4558130 4964300 5013943 5460730 9116260 9928600 10027886 10921460 11395325 13651825 18232520 20055772 21842920 22790650 25069715 27303650 40111544 45581300 50139430 54607300 55153373 91162600 100278860 109214600 110306746 125348575 200557720 220613492 250697150 275766865 441226984 501394300 551533730 1002788600 1103067460 1378834325 2206134920 2757668650 5515337300 11030674600