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20100200112 = 2433233165257
BaseRepresentation
bin10010101110000100…
…001011011010110000
31220212211001221222000
4102232010023122300
5312131122400422
613122305014000
71311046611336
oct225604133260
956784057860
1020100200112
118585047933
123a8b624300
131b8438b545
14d89729b56
157c995ecac
hex4ae10b6b0

20100200112 has 160 divisors (see below), whose sum is σ = 62146498560. Its totient is φ = 6201930240.

The previous prime is 20100200083. The next prime is 20100200123. The reversal of 20100200112 is 21100200102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100200094 and 20100200103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275388 + ... + 340644.

It is an arithmetic number, because the mean of its divisors is an integer number (388415616).

Almost surely, 220100200112 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 20100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073249280).

20100200112 is an abundant number, since it is smaller than the sum of its proper divisors (42046298448).

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

20100200112 is a wasteful number, since it uses less digits than its factorization.

20100200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65328 (or 65316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100200112 its reverse (21100200102), we get a palindrome (41200400214).

The spelling of 20100200112 in words is "twenty billion, one hundred million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 36 46 48 54 62 69 72 92 93 108 124 138 144 184 186 207 216 248 276 279 368 372 414 432 496 552 558 621 713 744 828 837 1104 1116 1242 1426 1488 1656 1674 2139 2232 2484 2852 3312 3348 4278 4464 4968 5704 6417 6696 8556 9936 11408 12834 13392 17112 19251 25668 34224 38502 51336 65257 77004 102672 130514 154008 195771 261028 308016 391542 522056 587313 783084 1044112 1174626 1500911 1566168 1761939 2022967 2349252 3001822 3132336 3523878 4045934 4502733 4698504 6003644 6068901 7047756 8091868 9005466 9397008 12007288 12137802 13508199 14095512 16183736 18010932 18206703 24014576 24275604 27016398 28191024 32367472 36021864 36413406 40524597 46528241 48551208 54032796 54620109 72043728 72826812 81049194 93056482 97102416 108065592 109240218 139584723 145653624 162098388 186112964 216131184 218480436 279169446 291307248 324196776 372225928 418754169 436960872 558338892 648393552 744451856 837508338 873921744 1116677784 1256262507 1675016676 2233355568 2512525014 3350033352 5025050028 6700066704 10050100056 20100200112