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133032011024 = 241110116074657
BaseRepresentation
bin111101111100101010…
…0110110010100010000
3110201101020012100211102
41323321110312110100
54134422143323044
6141040345403532
712416441302433
oct1737124662420
9421336170742
10133032011024
1151467113970
12219481995a8
13c7110b64b3
14662004581a
1536d912c24e
hex1ef9536510

133032011024 has 80 divisors (see below), whose sum is σ = 284202988416. Its totient is φ = 59820288000.

The previous prime is 133032011023. The next prime is 133032011039. The reversal of 133032011024 is 420110230331.

It is a junction number, because it is equal to n+sod(n) for n = 133032010987 and 133032011005.

It is not an unprimeable number, because it can be changed into a prime (133032011023) by changing a digit.

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, 28563704 + ... + 28568360.

Almost surely, 2133032011024 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 133032011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142101494208).

133032011024 is an abundant number, since it is smaller than the sum of its proper divisors (151170977392).

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

133032011024 is a wasteful number, since it uses less digits than its factorization.

133032011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133032011024 its reverse (420110230331), we get a palindrome (553142241355).

The spelling of 133032011024 in words is "one hundred thirty-three billion, thirty-two million, eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1607 1616 2222 3214 4444 4657 6428 8888 9314 12856 17677 17776 18628 25712 35354 37256 51227 70708 74512 102454 141416 162307 204908 282832 324614 409816 470357 649228 819632 940714 1298456 1785377 1881428 2596912 3570754 3762856 5173927 7141508 7483799 7525712 10347854 14283016 14967598 20695708 28566032 29935196 41391416 59870392 82321789 82782832 119740784 164643578 329287156 658574312 755863699 1317148624 1511727398 3023454796 6046909592 8314500689 12093819184 16629001378 33258002756 66516005512 133032011024