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114525103 = 72111953211
BaseRepresentation
bin1101101001110…
…00001110101111
321222111110220111
412310320032233
5213304300403
615210400451
72560306300
oct664701657
9258443814
10114525103
1159712450
1232430127
131a95ac44
14112d27a7
15a0c356d
hex6d383af

114525103 has 48 divisors (see below), whose sum is σ = 156608640. Its totient is φ = 82555200.

The previous prime is 114525091. The next prime is 114525109. The reversal of 114525103 is 301525411.

It is a happy number.

It is not a de Polignac number, because 114525103 - 217 = 114394031 is a prime.

It is a super-3 number, since 3×1145251033 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542668 + ... + 542878.

It is an arithmetic number, because the mean of its divisors is an integer number (3262680).

Almost surely, 2114525103 is an apocalyptic number.

114525103 is a deficient number, since it is larger than the sum of its proper divisors (42083537).

114525103 is a wasteful number, since it uses less digits than its factorization.

114525103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 114525103 is about 10701.6402013897. The cubic root of 114525103 is about 485.6240989622.

The spelling of 114525103 in words is "one hundred fourteen million, five hundred twenty-five thousand, one hundred three".

Divisors: 1 7 11 19 49 53 77 133 209 211 371 539 583 931 1007 1463 1477 2321 2597 4009 4081 7049 10241 10339 11077 11183 16247 28063 28567 44099 49343 77539 78281 113729 123013 196441 212477 308693 542773 547967 861091 1487339 2160851 2337247 6027637 10411373 16360729 114525103