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300031311121 = 3131735386491
BaseRepresentation
bin1000101110110110100…
…00100111110100010001
31001200102200211210112021
410113123100213310101
514403431003423441
6345455452131441
730451025031403
oct4273320476421
91050380753467
10300031311121
11106273942863
124a193a66b81
13223a64725b9
1410743372b73
157c102e63d1
hex45db427d11

300031311121 has 16 divisors (see below), whose sum is σ = 311570477568. Its totient is φ = 288613670400.

The previous prime is 300031311089. The next prime is 300031311133. The reversal of 300031311121 is 121113130003.

It is not a de Polignac number, because 300031311121 - 25 = 300031311089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300031311095 and 300031311104.

It is not an unprimeable number, because it can be changed into a prime (300031311161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3425686 + ... + 3512176.

It is an arithmetic number, because the mean of its divisors is an integer number (19473154848).

Almost surely, 2300031311121 is an apocalyptic number.

300031311121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

300031311121 is a deficient number, since it is larger than the sum of its proper divisors (11539166447).

300031311121 is a wasteful number, since it uses less digits than its factorization.

300031311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87192.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 300031311121 its reverse (121113130003), we get a palindrome (421144441124).

The spelling of 300031311121 in words is "three hundred billion, thirty-one million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 31 317 353 9827 10943 86491 111901 2681221 3468931 27417647 30531323 849947057 946471013 9678429391 300031311121