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11201000121 = 3237109421733
BaseRepresentation
bin10100110111010000…
…11011001010111001
31001220121122202120100
422123220123022321
5140414424000441
65051244150013
7544366634013
oct123350331271
931817582510
1011201000121
1148287441a3
122207238309
131096771c2c
147838731b3
15458544cb6
hex29ba1b2b9

11201000121 has 48 divisors (see below), whose sum is σ = 16831706320. Its totient is φ = 7171960320.

The previous prime is 11201000113. The next prime is 11201000141. The reversal of 11201000121 is 12100010211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 911738025 + 10289262096 = 30195^2 + 101436^2 .

It is not a de Polignac number, because 11201000121 - 23 = 11201000113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201000141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15280671 + ... + 15281403.

Almost surely, 211201000121 is an apocalyptic number.

It is an amenable number.

11201000121 is a deficient number, since it is larger than the sum of its proper divisors (5630706199).

11201000121 is a wasteful number, since it uses less digits than its factorization.

11201000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11201000121 its reverse (12100010211), we get a palindrome (23301010332).

The spelling of 11201000121 in words is "eleven billion, two hundred one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 37 109 111 327 333 421 733 981 1263 2199 3789 4033 6597 12099 15577 27121 36297 45889 46731 79897 81363 137667 140193 239691 244089 308593 413001 719073 925779 1697893 2777337 2956189 5093679 8868567 11417941 15281037 26605701 33636637 34253823 100909911 102761469 302729733 1244555569 3733666707 11201000121