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114356253 = 31122313697
BaseRepresentation
bin1101101000011…
…11000000011101
321222011220021210
412310033000131
5213233400003
615203015033
72556004104
oct664170035
9258156253
10114356253
1159607600
123236a479
131a8cc12b
141128b03b
15a08d503
hex6d0f01d

114356253 has 24 divisors (see below), whose sum is σ = 174896064. Its totient is φ = 66288640.

The previous prime is 114356239. The next prime is 114356267. The reversal of 114356253 is 352653411.

It is an interprime number because it is at equal distance from previous prime (114356239) and next prime (114356267).

It is not a de Polignac number, because 114356253 - 24 = 114356237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114356253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114356293) 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 23 ways as a sum of consecutive naturals, for example, 1501 + ... + 15197.

It is an arithmetic number, because the mean of its divisors is an integer number (7287336).

Almost surely, 2114356253 is an apocalyptic number.

It is an amenable number.

114356253 is a deficient number, since it is larger than the sum of its proper divisors (60539811).

114356253 is a wasteful number, since it uses less digits than its factorization.

114356253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13734 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 114356253 is about 10693.7483138514. The cubic root of 114356253 is about 485.3853217342.

The spelling of 114356253 in words is "one hundred fourteen million, three hundred fifty-six thousand, two hundred fifty-three".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 8349 13697 41091 150667 315031 452001 945093 1657337 3465341 4972011 10396023 38118751 114356253