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1214334121 = 721113213331
BaseRepresentation
bin100100001100001…
…0100010010101001
310010121222120020211
41020120110102221
54441332142441
6320255221121
742043445500
oct11030242251
93117876224
101214334121
11573507220
1229a8177a1
13164772a00
14b73c1837
157191ca81
hex486144a9

1214334121 has 36 divisors (see below), whose sum is σ = 1668793104. Its totient is φ = 873381600.

The previous prime is 1214334113. The next prime is 1214334127.

1214334121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1214334121 - 23 = 1214334113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1214334092 and 1214334101.

It is not an unprimeable number, because it can be changed into a prime (1214334127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84426 + ... + 97756.

It is an arithmetic number, because the mean of its divisors is an integer number (46355364).

Almost surely, 21214334121 is an apocalyptic number.

1214334121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214334121 is a deficient number, since it is larger than the sum of its proper divisors (454458983).

1214334121 is a wasteful number, since it uses less digits than its factorization.

1214334121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13362 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 1214334121 is about 34847.2971835693. The cubic root of 1214334121 is about 1066.8730206996.

It can be divided in two parts, 12143 and 34121, that added together give a palindrome (46264).

The spelling of 1214334121 in words is "one billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 13331 91091 93317 146641 173303 653219 1026487 1213121 1906333 2252939 7185409 8491847 13344331 15770573 24782329 93410317 110394011 173476303 1214334121