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1214884121 = 11379433673
BaseRepresentation
bin100100001101001…
…1010100100011001
310010200000111201012
41020122122210121
54442002242441
6320315103305
742051226133
oct11032324431
93120014635
101214884121
11573852470
1229aa41b35
13164906159
14b74c6053
15719ca9eb
hex4869a919

1214884121 has 16 divisors (see below), whose sum is σ = 1333872960. Its totient is φ = 1097349120.

The previous prime is 1214884091. The next prime is 1214884157.

1214884121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1214884121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1214884721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1804841 + ... + 1805513.

It is an arithmetic number, because the mean of its divisors is an integer number (83367060).

Almost surely, 21214884121 is an apocalyptic number.

1214884121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214884121 is a deficient number, since it is larger than the sum of its proper divisors (118988839).

1214884121 is a wasteful number, since it uses less digits than its factorization.

1214884121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496.

The product of its digits is 4096, while the sum is 32.

The square root of 1214884121 is about 34855.1878635018. The cubic root of 1214884121 is about 1067.0340668743.

It can be divided in two parts, 12148 and 84121, that added together give a palindrome (96269).

The spelling of 1214884121 in words is "one billion, two hundred fourteen million, eight hundred eighty-four thousand, one hundred twenty-one".

Divisors: 1 11 379 433 673 4169 4763 7403 164107 255067 291409 1805177 2805737 3205499 110444011 1214884121