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10221110032 = 247838531289
BaseRepresentation
bin10011000010011100…
…11100001100010000
3222101022211012001211
421201032130030100
5131413101010112
64410121505504
7511201000420
oct114116341420
928338735054
1010221110032
114375606281
121b93042294
13c6b756203
146cd67c480
153ec4d70a7
hex26139c310

10221110032 has 80 divisors (see below), whose sum is σ = 22949781120. Its totient is φ = 4319271936.

The previous prime is 10221109999. The next prime is 10221110063. The reversal of 10221110032 is 23001112201.

It is a junction number, because it is equal to n+sod(n) for n = 10221109994 and 10221110021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7928844 + ... + 7930132.

It is an arithmetic number, because the mean of its divisors is an integer number (286872264).

Almost surely, 210221110032 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 10221110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474890560).

10221110032 is an abundant number, since it is smaller than the sum of its proper divisors (12728671088).

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

10221110032 is a wasteful number, since it uses less digits than its factorization.

10221110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10221110032 its reverse (23001112201), we get a palindrome (33222222233).

The spelling of 10221110032 in words is "ten billion, two hundred twenty-one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 853 1162 1289 1328 1706 2324 2578 3412 4648 5156 5971 6824 9023 9296 10312 11942 13648 18046 20624 23884 36092 47768 70799 72184 95536 106987 141598 144368 213974 283196 427948 495593 566392 748909 855896 991186 1099517 1132784 1497818 1711792 1982372 2199034 2995636 3964744 4398068 5991272 7696619 7929488 8796136 11982544 15393238 17592272 30786476 61572952 91259911 123145904 182519822 365039644 638819377 730079288 1277638754 1460158576 2555277508 5110555016 10221110032