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1144101133233 = 32401722943853
BaseRepresentation
bin10000101001100001101…
…111011101101110110001
311001101010101010110101200
4100221201233131232301
5122221104342230413
62233332013521413
7145441615114002
oct20514157355661
94041111113350
101144101133233
11401235299143
121658991a3269
1383b716cb796
143d5365d31a9
151eb62538573
hex10a61bddbb1

1144101133233 has 24 divisors (see below), whose sum is σ = 1656978658920. Its totient is φ = 760709414400.

The previous prime is 1144101133207. The next prime is 1144101133243. The reversal of 1144101133233 is 3323311014411.

1144101133233 is a `hidden beast` number, since 1 + 1 + 4 + 410 + 1 + 13 + 3 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 700589088144 + 443512045089 = 837012^2 + 665967^2 .

It is not a de Polignac number, because 1144101133233 - 220 = 1144100084657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1144101133197 and 1144101133206.

It is not an unprimeable number, because it can be changed into a prime (1144101133243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26067535 + ... + 26111387.

It is an arithmetic number, because the mean of its divisors is an integer number (69040777455).

Almost surely, 21144101133233 is an apocalyptic number.

It is an amenable number.

1144101133233 is a deficient number, since it is larger than the sum of its proper divisors (512877525687).

1144101133233 is a wasteful number, since it uses less digits than its factorization.

1144101133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51489 (or 51486 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1144101133233 its reverse (3323311014411), we get a palindrome (4467412147644).

The spelling of 1144101133233 in words is "one trillion, one hundred forty-four billion, one hundred one million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 401 1203 3609 7229 21687 43853 65061 131559 394677 2898829 8696487 17585053 26089461 52755159 158265477 317013337 951040011 2853120033 127122348137 381367044411 1144101133233