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103213314 = 23210156773
BaseRepresentation
bin1100010011011…
…10100100000010
321012012210001100
412021232210002
5202410311224
614124115230
72362204311
oct611564402
9235183040
10103213314
1153296766
122a695b16
13184ca289
14d9ca278
1590dbac9
hex626e902

103213314 has 24 divisors (see below), whose sum is σ = 225846972. Its totient is φ = 34063200.

The previous prime is 103213303. The next prime is 103213321. The reversal of 103213314 is 413312301.

103213314 is a `hidden beast` number, since 10 + 321 + 331 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100340289 + 2873025 = 10017^2 + 1695^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26569 + ... + 30204.

Almost surely, 2103213314 is an apocalyptic number.

103213314 is an abundant number, since it is smaller than the sum of its proper divisors (122633658).

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

103213314 is a wasteful number, since it uses less digits than its factorization.

103213314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56882 (or 56879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103213314 is about 10159.3953560239. The cubic root of 103213314 is about 469.0781902209.

Adding to 103213314 its reverse (413312301), we get a palindrome (516525615).

The spelling of 103213314 in words is "one hundred three million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 56773 113546 170319 340638 510957 1021914 5734073 11468146 17202219 34404438 51606657 103213314