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100011122332 = 2211171011677927
BaseRepresentation
bin101110100100100100…
…0001001111010011100
3100120010221120102012221
41131021020021322130
53114310321403312
6113540001235124
710140240341062
oct1351110117234
9316127512187
10100011122332
1139461742510
1217471632aa4
13957ac050c4
144baa718032
1529051d5207
hex1749209e9c

100011122332 has 96 divisors (see below), whose sum is σ = 205411562496. Its totient is φ = 42102912000.

The previous prime is 100011122327. The next prime is 100011122353. The reversal of 100011122332 is 233221110001.

100011122332 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 12612553 + ... + 12620479.

It is an arithmetic number, because the mean of its divisors is an integer number (2139703776).

Almost surely, 2100011122332 is an apocalyptic number.

It is an amenable number.

100011122332 is an abundant number, since it is smaller than the sum of its proper divisors (105400440164).

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

100011122332 is a wasteful number, since it uses less digits than its factorization.

100011122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100011122332 its reverse (233221110001), we get a palindrome (333232232333).

The spelling of 100011122332 in words is "one hundred billion, eleven million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 101 167 187 202 334 374 404 668 748 1111 1717 1837 2222 2839 3434 3674 4444 5678 6868 7348 7927 11356 15854 16867 18887 31229 31708 33734 37774 62458 67468 75548 87197 124916 134759 174394 185537 269518 286739 348788 371074 539036 573478 742148 800627 1146956 1323809 1482349 1601254 2647618 2964698 3154129 3202508 5295236 5929396 6308258 8806897 12616516 13610659 14561899 17613794 22504753 27221318 29123798 35227588 45009506 54442636 58247596 90019012 133704709 149717249 247552283 267409418 299434498 495104566 534818836 598868996 990209132 1470751799 2272980053 2941503598 4545960106 5883007196 9091920212 25002780583 50005561166 100011122332