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11301123000 = 233533767041
BaseRepresentation
bin10101000011001100…
…10111001110111000
31002011121001112100010
422201212113032320
5141121041414000
65105222141520
7550023650316
oct124146271670
932147045303
1011301123000
11487a209a82
1222348818a0
1310b142963b
14792c970b6
15462220d50
hex2a19973b8

11301123000 has 64 divisors (see below), whose sum is σ = 35259513120. Its totient is φ = 3013632000.

The previous prime is 11301122957. The next prime is 11301123019. The reversal of 11301123000 is 32110311.

11301123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113011230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1880521 + ... + 1886520.

Almost surely, 211301123000 is an apocalyptic number.

11301123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301123000 is an abundant number, since it is smaller than the sum of its proper divisors (23958390120).

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

11301123000 is a wasteful number, since it uses less digits than its factorization.

11301123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767065 (or 3767051 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11301123000 its reverse (32110311), we get a palindrome (11333233311).

The spelling of 11301123000 in words is "eleven billion, three hundred one million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3767041 7534082 11301123 15068164 18835205 22602246 30136328 37670410 45204492 56505615 75340820 90408984 94176025 113011230 150681640 188352050 226022460 282528075 376704100 452044920 470880125 565056150 753408200 941760250 1130112300 1412640375 1883520500 2260224600 2825280750 3767041000 5650561500 11301123000