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2412041331 = 372910338453
BaseRepresentation
bin1000111111000100…
…1101010001110011
320020002200101200010
42033301031101303
514414440310311
61035202230003
7113526004320
oct21761152163
96202611603
102412041331
111028597397
12573955303
132c59436bb
1418c4b5b47
15e1b53da6
hex8fc4d473

2412041331 has 32 divisors (see below), whose sum is σ = 3839247360. Its totient is φ = 1317826944.

The previous prime is 2412041309. The next prime is 2412041347. The reversal of 2412041331 is 1331402142.

It is not a de Polignac number, because 2412041331 - 26 = 2412041267 is a prime.

It is a super-2 number, since 2×24120413312 = 11635886764904503122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2412041298 and 2412041307.

It is not an unprimeable number, because it can be changed into a prime (2412041371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43501 + ... + 81953.

It is an arithmetic number, because the mean of its divisors is an integer number (119976480).

Almost surely, 22412041331 is an apocalyptic number.

2412041331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2412041331 is a deficient number, since it is larger than the sum of its proper divisors (1427206029).

2412041331 is a wasteful number, since it uses less digits than its factorization.

2412041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38595.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2412041331 is about 49112.5374115409. The cubic root of 2412041331 is about 1341.1012946476.

Adding to 2412041331 its reverse (1331402142), we get a palindrome (3743443473).

The spelling of 2412041331 in words is "two billion, four hundred twelve million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 87 103 203 309 609 721 2163 2987 8961 20909 38453 62727 115359 269171 807513 1115137 3345411 3960659 7805959 11881977 23417877 27724613 83173839 114859111 344577333 804013777 2412041331