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103133322 = 232174771101
BaseRepresentation
bin1100010010110…
…11000010001010
321012001201022200
412021123002022
5202400231242
614122301030
72361422145
oct611330212
9235051280
10103133322
1153241656
122a657776
131849ca46
14d9a905c
1590c304c
hex625b08a

103133322 has 96 divisors (see below), whose sum is σ = 247463424. Its totient is φ = 30912000.

The previous prime is 103133291. The next prime is 103133333. The reversal of 103133322 is 223331301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103133295 and 103133304.

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 47 ways as a sum of consecutive naturals, for example, 1021072 + ... + 1021172.

It is an arithmetic number, because the mean of its divisors is an integer number (2577744).

Almost surely, 2103133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123731712).

103133322 is an abundant number, since it is smaller than the sum of its proper divisors (144330102).

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

103133322 is a wasteful number, since it uses less digits than its factorization.

103133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103133322 is about 10155.4577444840. The cubic root of 103133322 is about 468.9569778216.

Adding to 103133322 its reverse (223331301), we get a palindrome (326464623).

The spelling of 103133322 in words is "one hundred three million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 47 51 71 94 101 102 141 142 153 202 213 282 303 306 423 426 606 639 799 846 909 1207 1278 1598 1717 1818 2397 2414 3337 3434 3621 4747 4794 5151 6674 7171 7191 7242 9494 10011 10302 10863 14241 14342 14382 15453 20022 21513 21726 28482 30033 30906 42723 43026 56729 60066 64539 80699 85446 113458 121907 129078 161398 170187 242097 243814 337037 340374 365721 484194 510561 674074 726291 731442 1011111 1021122 1097163 1452582 2022222 2194326 3033333 5729629 6066666 11459258 17188887 34377774 51566661 103133322