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1033131003234 = 231131011280869
BaseRepresentation
bin11110000100010110110…
…10000000110101100010
310122202200200020202211220
433002023122000311202
5113411323014100414
62110340330515510
7134432643430131
oct17021332006542
93582620222756
101033131003234
1136916a577000
12148289595b96
1376568222475
143800a639918
151bd1a1aeca9
hexf08b680d62

1033131003234 has 64 divisors (see below), whose sum is σ = 2295237064320. Its totient is φ = 309970056000.

The previous prime is 1033131003227. The next prime is 1033131003251. The reversal of 1033131003234 is 4323001313301.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166152 + ... + 1447020.

It is an arithmetic number, because the mean of its divisors is an integer number (35863079130).

Almost surely, 21033131003234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033131003234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147618532160).

1033131003234 is an abundant number, since it is smaller than the sum of its proper divisors (1262106061086).

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

1033131003234 is a wasteful number, since it uses less digits than its factorization.

1033131003234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281008 (or 1280986 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1033131003234 its reverse (4323001313301), we get a palindrome (5356132316535).

The spelling of 1033131003234 in words is "one trillion, thirty-three billion, one hundred thirty-one million, three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 1331 2222 2662 3333 3993 6666 7986 12221 24442 36663 73326 134431 268862 403293 806586 1280869 2561738 3842607 7685214 14089559 28179118 42268677 84537354 129367769 154985149 258735538 309970298 388103307 464955447 776206614 929910894 1423045459 1704836639 2846090918 3409673278 4269136377 5114509917 8538272754 10229019834 15653500049 31307000098 46960500147 93921000294 172188500539 344377001078 516565501617 1033131003234