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103114314 = 23229251787
BaseRepresentation
bin1100010010101…
…10011001001010
321012000202020200
412021112121022
5202344124224
614122033030
72361312552
oct611263112
9235022220
10103114314
1153229346
122a648776
13184941b4
14d9a2162
1590bc5c9
hex625664a

103114314 has 48 divisors (see below), whose sum is σ = 232333920. Its totient is φ = 33012000.

The previous prime is 103114307. The next prime is 103114337. The reversal of 103114314 is 413411301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130629 + ... + 131415.

It is an arithmetic number, because the mean of its divisors is an integer number (4840290).

Almost surely, 2103114314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103114314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116166960).

103114314 is an abundant number, since it is smaller than the sum of its proper divisors (129219606).

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

103114314 is a wasteful number, since it uses less digits than its factorization.

103114314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103114314 is about 10154.5218498952. The cubic root of 103114314 is about 468.9281656597.

Adding to 103114314 its reverse (413411301), we get a palindrome (516525615).

The spelling of 103114314 in words is "one hundred three million, one hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 251 261 502 522 753 787 1506 1574 2259 2361 4518 4722 7083 7279 14166 14558 21837 22823 43674 45646 65511 68469 131022 136938 197537 205407 395074 410814 592611 1185222 1777833 3555666 5728573 11457146 17185719 34371438 51557157 103114314