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10332021232 = 24131391911871
BaseRepresentation
bin10011001111101011…
…00010000111110000
3222200001112001122001
421213311202013300
5132124444134412
64425123023344
7514015505611
oct114765420760
928601461561
1010332021232
11442217a525
12200420ab54
13c8871a240
147002adc08
154070e4957
hex267d621f0

10332021232 has 80 divisors (see below), whose sum is σ = 21838602240. Its totient is φ = 4707014400.

The previous prime is 10332021223. The next prime is 10332021257. The reversal of 10332021232 is 23212023301.

10332021232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 5521257 + ... + 5523127.

It is an arithmetic number, because the mean of its divisors is an integer number (272982528).

Almost surely, 210332021232 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 10332021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919301120).

10332021232 is an abundant number, since it is smaller than the sum of its proper divisors (11506581008).

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

10332021232 is a wasteful number, since it uses less digits than its factorization.

10332021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10332021232 its reverse (23212023301), we get a palindrome (33544044533).

The spelling of 10332021232 in words is "ten billion, three hundred thirty-two million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 139 191 208 278 382 556 764 1112 1528 1807 1871 2224 2483 3056 3614 3742 4966 7228 7484 9932 14456 14968 19864 24323 26549 28912 29936 39728 48646 53098 97292 106196 194584 212392 260069 345137 357361 389168 424784 520138 690274 714722 1040276 1380548 1429444 2080552 2761096 2858888 3380897 4161104 4645693 5522192 5717776 6761794 9291386 13523588 18582772 27047176 37165544 49673179 54094352 74331088 99346358 198692716 397385432 645751327 794770864 1291502654 2583005308 5166010616 10332021232