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2303201131133 = 72174126998337
BaseRepresentation
bin100001100001000001011…
…111000011101001111101
322011011222001021012002112
4201201001133003221331
5300213423442144013
64522024225303405
7325254320411300
oct41410137035175
98134861235075
102303201131133
11808866aa3301
12312461494b65
131392636395c6
147d692bd2b37
153eda170eba8
hex218417c3a7d

2303201131133 has 12 divisors (see below), whose sum is σ = 2680772973372. Its totient is φ = 1973038394880.

The previous prime is 2303201131123. The next prime is 2303201131151. The reversal of 2303201131133 is 3311311023032.

It can be written as a sum of positive squares in 2 ways, for example, as 97910790649 + 2205290340484 = 312907^2 + 1485022^2 .

It is not a de Polignac number, because 2303201131133 - 24 = 2303201131117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2303201131099 and 2303201131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303201131123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13413860 + ... + 13584477.

It is an arithmetic number, because the mean of its divisors is an integer number (223397747781).

Almost surely, 22303201131133 is an apocalyptic number.

It is an amenable number.

2303201131133 is a deficient number, since it is larger than the sum of its proper divisors (377571842239).

2303201131133 is a wasteful number, since it uses less digits than its factorization.

2303201131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27000092 (or 27000085 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2303201131133 its reverse (3311311023032), we get a palindrome (5614512154165).

The spelling of 2303201131133 in words is "two trillion, three hundred three billion, two hundred one million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 49 1741 12187 85309 26998337 188988359 1322918513 47004104717 329028733019 2303201131133