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101452014 = 236149467
BaseRepresentation
bin1100000110000…
…00100011101110
321001220022000000
412003000203232
5201432431024
614022245130
72341220316
oct603004356
9231808000
10101452014
11522a3444
1229b867a6
13180316a1
14d68c446
158d8ecc9
hex60c08ee

101452014 has 56 divisors (see below), whose sum is σ = 230185800. Its totient is φ = 33518448.

The previous prime is 101451997. The next prime is 101452019. The reversal of 101452014 is 410254101.

It is a super-2 number, since 2×1014520142 = 20585022289312392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101452019) 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 27 ways as a sum of consecutive naturals, for example, 217009 + ... + 217475.

Almost surely, 2101452014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101452014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115092900).

101452014 is an abundant number, since it is smaller than the sum of its proper divisors (128733786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101452014 is an equidigital number, since it uses as much as digits as its factorization.

101452014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101452014 is about 10072.3390530700. The cubic root of 101452014 is about 466.3946474804.

The spelling of 101452014 in words is "one hundred one million, four hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 467 486 729 894 934 1341 1401 1458 2682 2802 4023 4203 8046 8406 12069 12609 24138 25218 36207 37827 69583 72414 75654 108621 113481 139166 208749 217242 226962 340443 417498 626247 680886 1252494 1878741 3757482 5636223 11272446 16908669 33817338 50726007 101452014