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1011120000201 = 323726417114941
BaseRepresentation
bin11101011011010110111…
…00101100110011001001
310120122212200122222001100
432231223130230303021
5113031233210001301
62052300242412013
7133023332123463
oct16555334546311
93518780588040
101011120000201
1135a8a4975703
12143b66061009
137446b01a20c
1436d1d233133
151b47cb0b286
hexeb6b72ccc9

1011120000201 has 24 divisors (see below), whose sum is σ = 1500049651464. Its totient is φ = 655831088640.

The previous prime is 1011120000199. The next prime is 1011120000227. The reversal of 1011120000201 is 1020000211101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7218201600 + 1003901798601 = 84960^2 + 1001949^2 .

It is not a de Polignac number, because 1011120000201 - 21 = 1011120000199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1011120000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8739391 + ... + 8854331.

It is an arithmetic number, because the mean of its divisors is an integer number (62502068811).

Almost surely, 21011120000201 is an apocalyptic number.

It is an amenable number.

1011120000201 is a deficient number, since it is larger than the sum of its proper divisors (488929651263).

1011120000201 is a wasteful number, since it uses less digits than its factorization.

1011120000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141401 (or 141398 counting only the distinct ones).

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

Adding to 1011120000201 its reverse (1020000211101), we get a palindrome (2031120211302).

The spelling of 1011120000201 in words is "one trillion, eleven billion, one hundred twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 26417 79251 114941 237753 344823 977429 1034469 2932287 4252817 8796861 12758451 38275353 3036396397 9109189191 27327567573 112346666689 337040000067 1011120000201