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10330220032 = 29113789557
BaseRepresentation
bin10011001111011101…
…01010011000000000
3222122221010112211221
421213232222120000
5132124014020112
64425020244424
7513664264366
oct114756523000
928587115757
1010330220032
11442115a230
1220036a0714
13c88239442
146ddd61636
15406d8ae07
hex267baa600

10330220032 has 160 divisors (see below), whose sum is σ = 23427027360. Its totient is φ = 4509204480.

The previous prime is 10330220027. The next prime is 10330220053. The reversal of 10330220032 is 23002203301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10330219988 and 10330220015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18545898 + ... + 18546454.

It is an arithmetic number, because the mean of its divisors is an integer number (146418921).

Almost surely, 210330220032 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 10330220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713513680).

10330220032 is an abundant number, since it is smaller than the sum of its proper divisors (13096807328).

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

10330220032 is an equidigital number, since it uses as much as digits as its factorization.

10330220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10330220032 its reverse (23002203301), we get a palindrome (33332423333).

The spelling of 10330220032 in words is "ten billion, three hundred thirty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 89 128 148 176 178 256 296 352 356 407 512 557 592 704 712 814 979 1114 1184 1408 1424 1628 1958 2228 2368 2816 2848 3256 3293 3916 4456 4736 5632 5696 6127 6512 6586 7832 8912 9472 11392 12254 13024 13172 15664 17824 18944 20609 22784 24508 26048 26344 31328 35648 36223 41218 45568 49016 49573 52096 52688 62656 71296 72446 82436 98032 99146 104192 105376 125312 142592 144892 164872 196064 198292 208384 210752 226699 250624 285184 289784 329744 392128 396584 421504 453398 501248 545303 579568 659488 784256 793168 843008 906796 1090606 1159136 1318976 1568512 1586336 1686016 1813592 1834201 2181212 2318272 2637952 3137024 3172672 3627184 3668402 4362424 4636544 5275904 6345344 7254368 7336804 8724848 9273088 10551808 12690688 14508736 14673608 17449696 18546176 20176211 25381376 29017472 29347216 34899392 40352422 58034944 58694432 69798784 80704844 116069888 117388864 139597568 161409688 234777728 279195136 322819376 469555456 645638752 939110912 1291277504 2582555008 5165110016 10330220032