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211000020000112 = 24783101224732047
BaseRepresentation
bin101111111110011101000101…
…001111010101110101110000
31000200002101221011220211212201
4233332131011033111311300
5210124011020110000422
62024432023201432544
762305151123510410
oct5776350517256560
91020071834824781
10211000020000112
116125a673592682
121b7b927393b754
1390972a7896405
143a16653ac4640
15195d8dc399727
hexbfe7453d5d70

211000020000112 has 80 divisors (see below), whose sum is σ = 477525038441472. Its totient is φ = 88454533305600.

The previous prime is 211000020000101. The next prime is 211000020000271.

211000020000112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111427128 + ... + 113304919.

Almost surely, 2211000020000112 is an apocalyptic number.

It is an amenable number.

211000020000112 is an abundant number, since it is smaller than the sum of its proper divisors (266525018441360).

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

211000020000112 is a wasteful number, since it uses less digits than its factorization.

211000020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224732246 (or 224732240 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 211000020000112 in words is "two hundred eleven trillion, twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 83 101 112 166 202 332 404 581 664 707 808 1162 1328 1414 1616 2324 2828 4648 5656 8383 9296 11312 16766 33532 58681 67064 117362 134128 234724 469448 938896 224732047 449464094 898928188 1573124329 1797856376 3146248658 3595712752 6292497316 12584994632 18652759901 22697936747 25169989264 37305519802 45395873494 74611039604 90791746988 130569319307 149222079208 158885557229 181583493976 261138638614 298444158416 317771114458 363166987952 522277277228 635542228916 1044554554456 1271084457832 1883928750001 2089109108912 2542168915664 3767857500002 7535715000004 13187501250007 15071430000008 26375002500014 30142860000016 52750005000028 105500010000056 211000020000112