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211013133233310 = 23256795734501087
BaseRepresentation
bin101111111110101001010010…
…110110010110110010011110
31000200010122210001210010002100
4233332221102312112302132
5210124214344101431220
62024442032315505530
762306124103244112
oct5776512266266236
91020118701703070
10211013133233310
1161265192677891
121b7bb9134582a6
1390985b7562cb5
143a171394c7742
15195de08716d90
hexbfea52d96c9e

211013133233310 has 48 divisors (see below), whose sum is σ = 548642235563136. Its totient is φ = 56269339205184.

The previous prime is 211013133233303. The next prime is 211013133233327. The reversal of 211013133233310 is 13332331310112.

211013133233310 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 1 + 3 + 1 + 3 + 323 + 331 + 0 = 666.

It is a super-2 number, since 2×2110131332333102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 11134414 + ... + 23366673.

It is an arithmetic number, because the mean of its divisors is an integer number (11430046574232).

Almost surely, 2211013133233310 is an apocalyptic number.

211013133233310 is an abundant number, since it is smaller than the sum of its proper divisors (337629102329826).

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

211013133233310 is a wasteful number, since it uses less digits than its factorization.

211013133233310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569057 (or 34569054 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 211013133233310 its reverse (13332331310112), we get a palindrome (224345464543422).

The spelling of 211013133233310 in words is "two hundred eleven trillion, thirteen billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 67957 135914 203871 339785 407742 611613 679570 1019355 1223226 2038710 3058065 6116130 34501087 69002174 103503261 172505435 207006522 310509783 345010870 517516305 621019566 1035032610 1552548915 3105097830 2344590369259 4689180738518 7033771107777 11722951846295 14067542215554 21101313323331 23445903692590 35168855538885 42202626646662 70337711077770 105506566616655 211013133233310