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1214534354121 = 321124212649109
BaseRepresentation
bin10001101011000111111…
…000111000010011001001
311022002220222122210121100
4101223013320320103021
5124344331243312441
62325541022132013
7153514202450214
oct21530770702311
94262828583540
101214534354121
11429098a86500
12177475121009
138a6b781974a
1442ad897a77b
15218d5bc0cb6
hex11ac7e384c9

1214534354121 has 36 divisors (see below), whose sum is σ = 1932891322180. Its totient is φ = 734332737600.

The previous prime is 1214534354119. The next prime is 1214534354129.

1214534354121 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 53 + 43 + 541 + 21 = 666.

1214534354121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 548369870400 + 666164483721 = 740520^2 + 816189^2 .

It is not a de Polignac number, because 1214534354121 - 21 = 1214534354119 is a prime.

It is a super-2 number, since 2×12145343541212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1214534354129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866086 + ... + 1783023.

Almost surely, 21214534354121 is an apocalyptic number.

1214534354121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214534354121 is a deficient number, since it is larger than the sum of its proper divisors (718356968059).

1214534354121 is a wasteful number, since it uses less digits than its factorization.

1214534354121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649558 (or 2649544 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 1214534354121 in words is "one trillion, two hundred fourteen billion, five hundred thirty-four million, three hundred fifty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 421 1089 1263 3789 4631 13893 41679 50941 152823 458469 2649109 7947327 23841981 29140199 87420597 262261791 320542189 961626567 1115274889 2884879701 3345824667 10037474001 12268023779 36804071337 110412214011 134948261569 404844784707 1214534354121