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114555105 = 32573591013
BaseRepresentation
bin1101101001111…
…11100011100001
321222120000001200
412310333203201
5213311230410
615211151413
72560462620
oct664774341
9258500050
10114555105
1159732a45
1232445569
131a96b7b2
14112dd6b7
15a0cc3c0
hex6d3f8e1

114555105 has 48 divisors (see below), whose sum is σ = 227784960. Its totient is φ = 52170624.

The previous prime is 114555097. The next prime is 114555113. The reversal of 114555105 is 501555411.

114555105 is a `hidden beast` number, since 1 + 1 + 4 + 555 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (114555097) and next prime (114555113).

It is not a de Polignac number, because 114555105 - 23 = 114555097 is a prime.

It is a super-2 number, since 2×1145551052 = 26245744163122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112579 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2114555105 is an apocalyptic number.

114555105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114555105 is a deficient number, since it is larger than the sum of its proper divisors (113229855).

114555105 is a wasteful number, since it uses less digits than its factorization.

114555105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 114555105 is about 10703.0418573413. The cubic root of 114555105 is about 485.6665013751. Note that the first 3 decimals are identical.

The spelling of 114555105 in words is "one hundred fourteen million, five hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 359 1013 1077 1795 2513 3039 3231 5065 5385 7091 7539 9117 12565 15195 16155 21273 22617 35455 37695 45585 63819 106365 113085 319095 363667 1091001 1818335 2545669 3273003 5455005 7637007 12728345 16365015 22911021 38185035 114555105