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11201000120 = 2351716472059
BaseRepresentation
bin10100110111010000…
…11011001010111000
31001220121122202120022
422123220123022320
5140414424000440
65051244150012
7544366634012
oct123350331270
931817582508
1011201000120
1148287441a2
122207238308
131096771c2b
147838731b2
15458544cb5
hex29ba1b2b8

11201000120 has 32 divisors (see below), whose sum is σ = 26684737200. Its totient is φ = 4216846848.

The previous prime is 11201000113. The next prime is 11201000141. The reversal of 11201000120 is 2100010211.

11201000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11201000098 and 11201000107.

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 7 ways as a sum of consecutive naturals, for example, 8235350 + ... + 8236709.

Almost surely, 211201000120 is an apocalyptic number.

11201000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201000120 is an abundant number, since it is smaller than the sum of its proper divisors (15483737080).

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

11201000120 is a wasteful number, since it uses less digits than its factorization.

11201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472087 (or 16472083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11201000120 its reverse (2100010211), we get a palindrome (13301010331).

The spelling of 11201000120 in words is "eleven billion, two hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 16472059 32944118 65888236 82360295 131776472 164720590 280025003 329441180 560050006 658882360 1120100012 1400125015 2240200024 2800250030 5600500060 11201000120