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211020120100212 = 2232353131110120359
BaseRepresentation
bin101111111110101111110011…
…010011001000110101110100
31000200011022210222210201122120
4233332233303103020311310
5210124323201221201322
62024445145504355540
762306462202524343
oct5776576323106564
91020138728721576
10211020120100212
1161268148571355
121b801143315bb0
13909915bc1b277
143a175dd3c5b5a
15195e1b6cd9a5c
hexbfebf34c8d74

211020120100212 has 96 divisors (see below), whose sum is σ = 527478286325760. Its totient is φ = 65508398567040.

The previous prime is 211020120100157. The next prime is 211020120100243. The reversal of 211020120100212 is 212001021020112.

It is a junction number, because it is equal to n+sod(n) for n = 211020120100191 and 211020120100200.

It is a congruent number.

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, 53143912 + ... + 56976447.

It is an arithmetic number, because the mean of its divisors is an integer number (5494565482560).

Almost surely, 2211020120100212 is an apocalyptic number.

It is an amenable number.

211020120100212 is an abundant number, since it is smaller than the sum of its proper divisors (316458166225548).

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

211020120100212 is a wasteful number, since it uses less digits than its factorization.

211020120100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110120573 (or 110120571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211020120100212 its reverse (212001021020112), we get a palindrome (423021141120324).

The spelling of 211020120100212 in words is "two hundred eleven trillion, twenty billion, one hundred twenty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 131 138 159 212 262 276 318 393 524 636 786 1219 1572 2438 3013 3657 4876 6026 6943 7314 9039 12052 13886 14628 18078 20829 27772 36156 41658 83316 159689 319378 479067 638756 958134 1916268 110120359 220240718 330361077 440481436 660722154 1321444308 2532768257 5065536514 5836379027 7598304771 10131073028 11672758054 14425767029 15196609542 17509137081 23345516108 28851534058 30393219084 35018274162 43277301087 57703068116 70036548324 86554602174 134236717621 173109204348 268473435242 331792641667 402710152863 536946870484 663585283334 764565652537 805420305726 995377925001 1327170566668 1529131305074 1610840611452 1990755850002 2293696957611 3058262610148 3981511700004 4587393915222 9174787830444 17585010008351 35170020016702 52755030025053 70340040033404 105510060050106 211020120100212