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113014125 = 32537113127
BaseRepresentation
bin1101011110001…
…11010101101101
321212122201020100
412233013111231
5212412423000
615114141313
72541414150
oct657072555
9255581210
10113014125
1158880204
1231a21839
131a54c283
141101bc97
159dc5a00
hex6bc756d

113014125 has 96 divisors (see below), whose sum is σ = 236740608. Its totient is φ = 50803200.

The previous prime is 113014123. The next prime is 113014141. The reversal of 113014125 is 521410311.

It is not a de Polignac number, because 113014125 - 21 = 113014123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113014098 and 113014107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113014123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889812 + ... + 889938.

It is an arithmetic number, because the mean of its divisors is an integer number (2466048).

Almost surely, 2113014125 is an apocalyptic number.

113014125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113014125 is an abundant number, since it is smaller than the sum of its proper divisors (123726483).

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

113014125 is a wasteful number, since it uses less digits than its factorization.

113014125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113014125 is about 10630.8101760872. The cubic root of 113014125 is about 483.4789559891.

Adding to 113014125 its reverse (521410311), we get a palindrome (634424436).

The spelling of 113014125 in words is "one hundred thirteen million, fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 113 125 127 175 225 315 339 375 381 525 565 635 791 875 889 1017 1125 1143 1575 1695 1905 2373 2625 2667 2825 3175 3955 4445 5085 5715 7119 7875 8001 8475 9525 11865 13335 14125 14351 15875 19775 22225 25425 28575 35595 40005 42375 43053 47625 59325 66675 71755 98875 100457 111125 127125 129159 142875 177975 200025 215265 296625 301371 333375 358775 502285 645795 889875 904113 1000125 1076325 1506855 1793875 2511425 3228975 4520565 5381625 7534275 12557125 16144875 22602825 37671375 113014125