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1033201212 = 2232929310133
BaseRepresentation
bin111101100101010…
…110011000111100
32200000011001121120
4331211112120330
54103444414322
6250305030540
734414031301
oct7545263074
92600131546
101033201212
114902403aa
1224a025450
13136093284
149b3110a8
1560a8da5c
hex3d95663c

1033201212 has 48 divisors (see below), whose sum is σ = 2502692640. Its totient is φ = 331356928.

The previous prime is 1033201207. The next prime is 1033201217. The reversal of 1033201212 is 2121023301.

It is an interprime number because it is at equal distance from previous prime (1033201207) and next prime (1033201217).

It is a junction number, because it is equal to n+sod(n) for n = 1033201191 and 1033201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96898 + ... + 107030.

It is an arithmetic number, because the mean of its divisors is an integer number (52139430).

Almost surely, 21033201212 is an apocalyptic number.

1033201212 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 1033201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251346320).

1033201212 is an abundant number, since it is smaller than the sum of its proper divisors (1469491428).

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

1033201212 is a wasteful number, since it uses less digits than its factorization.

1033201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10462 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1033201212 is about 32143.4474193419. The cubic root of 1033201212 is about 1010.9468009549.

Adding to 1033201212 its reverse (2121023301), we get a palindrome (3154224513).

The spelling of 1033201212 in words is "one billion, thirty-three million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 293 348 586 879 1172 1758 3516 8497 10133 16994 20266 25491 30399 33988 40532 50982 60798 101964 121596 293857 587714 881571 1175428 1763142 2968969 3526284 5937938 8906907 11875876 17813814 35627628 86100101 172200202 258300303 344400404 516600606 1033201212