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12145013541 = 3219233087977
BaseRepresentation
bin10110100111110011…
…00011001100100101
31011100101222121112100
423103321203030211
5144333110413131
65325045442313
7606651624513
oct132371431445
934311877470
1012145013541
1151725a8481
12242b410399
1311b7208b5b
14832da94b3
154b13677e6
hex2d3e63325

12145013541 has 24 divisors (see below), whose sum is σ = 19268982720. Its totient is φ = 7337030976.

The previous prime is 12145013513. The next prime is 12145013557. The reversal of 12145013541 is 14531054121.

12145013541 is a `hidden beast` number, since 121 + 4 + 501 + 35 + 4 + 1 = 666.

It is not a de Polignac number, because 12145013541 - 25 = 12145013509 is a prime.

It is a super-2 number, since 2×121450135412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145013141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1540056 + ... + 1547921.

It is an arithmetic number, because the mean of its divisors is an integer number (802874280).

Almost surely, 212145013541 is an apocalyptic number.

It is an amenable number.

12145013541 is a deficient number, since it is larger than the sum of its proper divisors (7123969179).

12145013541 is a wasteful number, since it uses less digits than its factorization.

12145013541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088025 (or 3088022 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12145013541 its reverse (14531054121), we get a palindrome (26676067662).

The spelling of 12145013541 in words is "twelve billion, one hundred forty-five million, thirteen thousand, five hundred forty-one".

Divisors: 1 3 9 19 23 57 69 171 207 437 1311 3933 3087977 9263931 27791793 58671563 71023471 176014689 213070413 528044067 639211239 1349445949 4048337847 12145013541