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211012202210112 = 2632947938647603
BaseRepresentation
bin101111111110101000011011…
…010110110010001101000000
31000200010120101011220020100200
4233332220123112302031000
5210124210442231210422
62024441400100445200
762306062036545552
oct5776503326621500
91020116334806320
10211012202210112
1161264855086326
121b7bb6b36a9800
1390984996c69b4
143a1708b9b34d2
15195dda1b0d2ac
hexbfea1b5b2340

211012202210112 has 84 divisors (see below), whose sum is σ = 604892201053920. Its totient is φ = 70329978577152.

The previous prime is 211012202210107. The next prime is 211012202210143.

211012202210112 is a `hidden beast` number, since 2 + 110 + 1 + 220 + 221 + 0 + 112 = 666.

211012202210112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2110122022101122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13863898 + ... + 24783705.

Almost surely, 2211012202210112 is an apocalyptic number.

It is an amenable number.

211012202210112 is an abundant number, since it is smaller than the sum of its proper divisors (393879998843808).

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

211012202210112 is a wasteful number, since it uses less digits than its factorization.

211012202210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38657100 (or 38657087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21101220 and 2210112, that added together give a palindrome (23311332).

The spelling of 211012202210112 in words is "two hundred eleven trillion, twelve billion, two hundred two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9479 18958 28437 37916 56874 75832 85311 113748 151664 170622 227496 303328 341244 454992 606656 682488 909984 1364976 1819968 2729952 5459904 38647603 77295206 115942809 154590412 231885618 309180824 347828427 463771236 618361648 695656854 927542472 1236723296 1391313708 1855084944 2473446592 2782627416 3710169888 5565254832 7420339776 11130509664 22261019328 366340628837 732681257674 1099021886511 1465362515348 2198043773022 2930725030696 3297065659533 4396087546044 5861450061392 6594131319066 8792175092088 11722900122784 13188262638132 17584350184176 23445800245568 26376525276264 35168700368352 52753050552528 70337400736704 105506101105056 211012202210112