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145201293 = 32157102761
BaseRepresentation
bin10001010011110…
…01100010001101
3101010012222201200
420221321202031
5244132420133
622224100113
73412122246
oct1051714215
9333188650
10145201293
1174a64976
1240764639
132410b933
14153d9ccd
15cb32913
hex8a7988d

145201293 has 12 divisors (see below), whose sum is σ = 211073148. Its totient is φ = 96183360.

The previous prime is 145201229. The next prime is 145201313. The reversal of 145201293 is 392102541.

145201293 is a `hidden beast` number, since 14 + 520 + 129 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 40793769 = 10218^2 + 6387^2 .

It is not a de Polignac number, because 145201293 - 26 = 145201229 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145201193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49968 + ... + 52793.

It is an arithmetic number, because the mean of its divisors is an integer number (17589429).

Almost surely, 2145201293 is an apocalyptic number.

It is an amenable number.

145201293 is a deficient number, since it is larger than the sum of its proper divisors (65871855).

145201293 is a wasteful number, since it uses less digits than its factorization.

145201293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102924 (or 102921 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145201293 is about 12049.9499169084. The cubic root of 145201293 is about 525.6017806943.

The spelling of 145201293 in words is "one hundred forty-five million, two hundred one thousand, two hundred ninety-three".

Divisors: 1 3 9 157 471 1413 102761 308283 924849 16133477 48400431 145201293