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13918311 = 351141127
BaseRepresentation
bin110101000110…
…000001100111
3222012010100000
4311012001213
512030341221
61214152343
7226206111
oct65060147
928163300
1013918311
117947040
1247b26b3
132b641b4
141bc43b1
15134de26
hexd46067

13918311 has 48 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 8164800.

The previous prime is 13918301. The next prime is 13918337. The reversal of 13918311 is 11381931.

It is a happy number.

It is not a de Polignac number, because 13918311 - 213 = 13910119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13918301) 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 47 ways as a sum of consecutive naturals, for example, 109530 + ... + 109656.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 213918311 is an apocalyptic number.

13918311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13918311 is a deficient number, since it is larger than the sum of its proper divisors (9564057).

13918311 is a wasteful number, since it uses less digits than its factorization.

13918311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 13918311 is about 3730.7252646101. The cubic root of 13918311 is about 240.5445447780.

The spelling of 13918311 in words is "thirteen million, nine hundred eighteen thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 41 81 99 123 127 243 297 369 381 451 891 1107 1143 1353 1397 2673 3321 3429 4059 4191 5207 9963 10287 12177 12573 15621 30861 36531 37719 46863 57277 109593 113157 140589 171831 339471 421767 515493 1265301 1546479 4639437 13918311