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10203012 = 2232292337
BaseRepresentation
bin100110111010…
…111110000100
3201012100220100
4212322332010
510102444022
61002404100
7152503251
oct46727604
921170810
1010203012
115839746
123500630
1321630b1
1414d8428
15d681ac
hex9baf84

10203012 has 54 divisors (see below), whose sum is σ = 26790218. Its totient is φ = 3273984.

The previous prime is 10203001. The next prime is 10203013. The reversal of 10203012 is 21030201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 9326916 = 936^2 + 3054^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10202985 and 10203003.

It is not an unprimeable number, because it can be changed into a prime (10203013) 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 17 ways as a sum of consecutive naturals, for example, 30108 + ... + 30444.

Almost surely, 210203012 is an apocalyptic number.

10203012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395109).

10203012 is an abundant number, since it is smaller than the sum of its proper divisors (16587206).

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

10203012 is a wasteful number, since it uses less digits than its factorization.

10203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10203012 is about 3194.2153966193. The cubic root of 10203012 is about 216.8916332643.

Adding to 10203012 its reverse (21030201), we get a palindrome (31233213).

The spelling of 10203012 in words is "ten million, two hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 337 348 522 674 841 1011 1044 1348 1682 2022 2523 3033 3364 4044 5046 6066 7569 9773 10092 12132 15138 19546 29319 30276 39092 58638 87957 117276 175914 283417 351828 566834 850251 1133668 1700502 2550753 3401004 5101506 10203012