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103220013 = 3137137277
BaseRepresentation
bin1100010011100…
…00001100101101
321012020010020110
412021300030231
5202411020023
614124210233
72362232661
oct611601455
9235203213
10103220013
11532a07a6
122a699979
1318500340
14d9cc8a1
1590dda93
hex627032d

103220013 has 16 divisors (see below), whose sum is σ = 150304896. Its totient is φ = 62623680.

The previous prime is 103220003. The next prime is 103220041. The reversal of 103220013 is 310022301.

It is a happy number.

It is not a de Polignac number, because 103220013 - 210 = 103218989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103220003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15870 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (9394056).

Almost surely, 2103220013 is an apocalyptic number.

103220013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103220013 is a deficient number, since it is larger than the sum of its proper divisors (47084883).

103220013 is a wasteful number, since it uses less digits than its factorization.

103220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37364.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103220013 is about 10159.7250454921. The cubic root of 103220013 is about 469.0883384169.

Adding to 103220013 its reverse (310022301), we get a palindrome (413242314).

It can be divided in two parts, 103 and 220013, that added together give a triangular number (220116 = T663).

The spelling of 103220013 in words is "one hundred three million, two hundred twenty thousand, thirteen".

Divisors: 1 3 13 39 71 213 923 2769 37277 111831 484601 1453803 2646667 7940001 34406671 103220013