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11418374121 = 3711196142649
BaseRepresentation
bin10101010001001011…
…01000111111101001
31002110202200111122020
422220211220333221
5141341100432441
65125011215053
7552646402320
oct125045507751
932422614566
1011418374121
11492a413530
122267ba7489
1310cc8002bb
147a46990b7
1546c681e66
hex2a8968fe9

11418374121 has 64 divisors (see below), whose sum is σ = 20308224000. Its totient is φ = 5527180800.

The previous prime is 11418374117. The next prime is 11418374129. The reversal of 11418374121 is 12147381411.

It is not a de Polignac number, because 11418374121 - 22 = 11418374117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11418374129) 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, 246405 + ... + 289053.

It is an arithmetic number, because the mean of its divisors is an integer number (317316000).

Almost surely, 211418374121 is an apocalyptic number.

11418374121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11418374121 is a deficient number, since it is larger than the sum of its proper divisors (8889849879).

11418374121 is a wasteful number, since it uses less digits than its factorization.

11418374121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42750.

The product of its digits is 5376, while the sum is 33.

The spelling of 11418374121 in words is "eleven billion, four hundred eighteen million, three hundred seventy-four thousand, one hundred twenty-one".

Divisors: 1 3 7 11 19 21 33 57 61 77 133 183 209 231 399 427 627 671 1159 1281 1463 2013 3477 4389 4697 8113 12749 14091 24339 38247 42649 89243 127947 267729 298543 469139 810331 895629 1407417 2430993 2601589 3283973 5672317 7804767 8913641 9851919 17016951 18211123 26740923 28617479 49430191 54633369 62395487 85852437 148290573 187186461 200322353 346011337 543732101 600967059 1038034011 1631196303 3806124707 11418374121