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2412133101 = 3474254203
BaseRepresentation
bin1000111111000110…
…0011101011101101
320020002212001120000
42033301203223231
514420001224401
61035204214513
7113526536010
oct21761435355
96202761500
102412133101
11102864a334
1257399a439
132c59763c1
1418c4db377
15e1b71186
hex8fc63aed

2412133101 has 20 divisors (see below), whose sum is σ = 4118069472. Its totient is φ = 1378361448.

The previous prime is 2412133063. The next prime is 2412133109. The reversal of 2412133101 is 1013312142.

It is not a de Polignac number, because 2412133101 - 218 = 2411870957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412133109) 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 19 ways as a sum of consecutive naturals, for example, 2126535 + ... + 2127668.

Almost surely, 22412133101 is an apocalyptic number.

2412133101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2412133101 is a deficient number, since it is larger than the sum of its proper divisors (1705936371).

2412133101 is an equidigital number, since it uses as much as digits as its factorization.

2412133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254222 (or 4254213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2412133101 is about 49113.4716854755. The cubic root of 2412133101 is about 1341.1183025520.

Adding to 2412133101 its reverse (1013312142), we get a palindrome (3425445243).

The spelling of 2412133101 in words is "two billion, four hundred twelve million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4254203 12762609 29779421 38287827 89338263 114863481 268014789 344590443 804044367 2412133101