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323133011032 = 231341228133223
BaseRepresentation
bin1001011001111000011…
…10100111010001011000
31010220001200202202011111
410230330032213101120
520243234022323112
6404240101510104
732226352163236
oct4547416472130
91126050682144
10323133011032
11115049184937
1252760712334
132461861bc10
14118d5575956
1586134e45a7
hex4b3c3a7458

323133011032 has 64 divisors (see below), whose sum is σ = 668707421760. Its totient is φ = 145432627200.

The previous prime is 323133011023. The next prime is 323133011057. The reversal of 323133011032 is 230110331323.

It is a junction number, because it is equal to n+sod(n) for n = 323133010994 and 323133011012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9709573 + ... + 9742795.

It is an arithmetic number, because the mean of its divisors is an integer number (10448553465).

Almost surely, 2323133011032 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 323133011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334353710880).

323133011032 is an abundant number, since it is smaller than the sum of its proper divisors (345574410728).

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

323133011032 is a wasteful number, since it uses less digits than its factorization.

323133011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35564 (or 35560 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 323133011032 its reverse (230110331323), we get a palindrome (553243342355).

The spelling of 323133011032 in words is "three hundred twenty-three billion, one hundred thirty-three million, eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 2281 4264 4562 9124 18248 29653 33223 59306 66446 93521 118612 132892 187042 237224 265784 374084 431899 748168 863798 1215773 1362143 1727596 2431546 2724286 3455192 4863092 5448572 9726184 10897144 17707859 35415718 70831436 75781663 141662872 151563326 303126652 606253304 985161619 1970323238 3107048183 3940646476 6214096366 7881292952 12428192732 24856385464 40391626379 80783252758 161566505516 323133011032