Search a number
-
+
211010102011100 = 22527547955017887
BaseRepresentation
bin101111111110100110011110…
…001011001010010011011100
31000200010100221211000001221002
4233332212132023022103130
5210124142142103323400
62024440411434125432
762305656015262430
oct5776463613122334
91020110854001832
10211010102011100
1161263977621767
121b7bb208280878
1390982235693a2
143a16d2cab49c0
15195dccc556ed5
hexbfe99e2ca4dc

211010102011100 has 72 divisors (see below), whose sum is σ = 523400573552640. Its totient is φ = 72333115081920.

The previous prime is 211010102011081. The next prime is 211010102011151. The reversal of 211010102011100 is 1110201010112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23673644 + ... + 31344243.

Almost surely, 2211010102011100 is an apocalyptic number.

211010102011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010102011100 is an abundant number, since it is smaller than the sum of its proper divisors (312390471541540).

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

211010102011100 is a wasteful number, since it uses less digits than its factorization.

211010102011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55023387 (or 55023380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211010102011100 its reverse (1110201010112), we get a palindrome (212120303021212).

The spelling of 211010102011100 in words is "two hundred eleven trillion, ten billion, one hundred two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5479 10958 21916 27395 38353 54790 76706 109580 136975 153412 191765 273950 383530 547900 767060 958825 1917650 3835300 55017887 110035774 220071548 275089435 385125209 550178870 770250418 1100357740 1375447175 1540500836 1925626045 2750894350 3851252090 5501788700 7702504180 9628130225 19256260450 38512520900 301443002873 602886005746 1205772011492 1507215014365 2110101020111 3014430028730 4220202040222 6028860057460 7536075071825 8440404080444 10550505100555 15072150143650 21101010201110 30144300287300 42202020402220 52752525502775 105505051005550 211010102011100