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11240013141 = 337193538867
BaseRepresentation
bin10100111011111010…
…01111110101010101
31002000100001211101000
422131331033311111
5141004420410031
65055200253513
7545352351420
oct123575176525
932010054330
1011240013141
114848770265
122218311299
1310a1881466
14788b0a9b7
1545bb9e3e6
hex29df4fd55

11240013141 has 64 divisors (see below), whose sum is σ = 20091340800. Its totient is φ = 6066897408.

The previous prime is 11240013089. The next prime is 11240013149. The reversal of 11240013141 is 14131004211.

11240013141 is a `hidden beast` number, since 112 + 400 + 13 + 141 = 666.

It is not a de Polignac number, because 11240013141 - 213 = 11240004949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240013149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263190 + ... + 1272056.

It is an arithmetic number, because the mean of its divisors is an integer number (313927200).

Almost surely, 211240013141 is an apocalyptic number.

It is an amenable number.

11240013141 is a deficient number, since it is larger than the sum of its proper divisors (8851327659).

11240013141 is a wasteful number, since it uses less digits than its factorization.

11240013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11240013141 its reverse (14131004211), we get a palindrome (25371017352).

The spelling of 11240013141 in words is "eleven billion, two hundred forty million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 353 399 513 1059 1197 2471 3177 3591 6707 7413 8867 9531 20121 22239 26601 46949 60363 62069 66717 79803 140847 168473 181089 186207 239409 422541 505419 558621 1179311 1267623 1516257 1675863 3130051 3537933 4548771 9390153 10613799 21910357 28170459 31841397 59470969 65731071 84511377 178412907 197193213 416296783 535238721 591579639 1248890349 1605716163 3746671047 11240013141