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103226312 = 23717293739
BaseRepresentation
bin1100010011100…
…01101111001000
321012020102212202
412021301233020
5202411220222
614124255332
72362260230
oct611615710
9235212782
10103226312
11532a5502
122a6a1548
1318503177
14d9d0cc0
1590e0892
hex6271bc8

103226312 has 64 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 40190976.

The previous prime is 103226309. The next prime is 103226317. The reversal of 103226312 is 213622301.

It is a happy number.

It is a super-3 number, since 3×1032263123 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103226317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25739 + ... + 29477.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2103226312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103226312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

103226312 is an abundant number, since it is smaller than the sum of its proper divisors (139125688).

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

103226312 is a wasteful number, since it uses less digits than its factorization.

103226312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 103226312 is about 10160.0350393097. The cubic root of 103226312 is about 469.0978802594.

Adding to 103226312 its reverse (213622301), we get a palindrome (316848613).

The spelling of 103226312 in words is "one hundred three million, two hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 812 952 986 1624 1972 3451 3739 3944 6902 7478 13804 14956 26173 27608 29912 52346 63563 104692 108431 127126 209384 216862 254252 433724 444941 508504 759017 867448 889882 1518034 1779764 1843327 3036068 3559528 3686654 6072136 7373308 12903289 14746616 25806578 51613156 103226312