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211201012113 = 3731333147699
BaseRepresentation
bin1100010010110010001…
…1111011000110010001
3202012010221222001111220
43010230203323012101
511430014424341423
6241005134355253
721154520661000
oct3045443730621
9665127861456
10211201012113
118162a513403
1234b2295bb29
1316bbaa966b0
14a317958c37
1557619bc9e3
hex312c8fb191

211201012113 has 64 divisors (see below), whose sum is σ = 354735360000. Its totient is φ = 111063839040.

The previous prime is 211201012111. The next prime is 211201012147. The reversal of 211201012113 is 311210102112.

It is not a de Polignac number, because 211201012113 - 21 = 211201012111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211201012092 and 211201012101.

It is not an unprimeable number, because it can be changed into a prime (211201012111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4403938 + ... + 4451636.

It is an arithmetic number, because the mean of its divisors is an integer number (5542740000).

Almost surely, 2211201012113 is an apocalyptic number.

It is an amenable number.

211201012113 is a deficient number, since it is larger than the sum of its proper divisors (143534347887).

211201012113 is a wasteful number, since it uses less digits than its factorization.

211201012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48067 (or 48053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211201012113 its reverse (311210102112), we get a palindrome (522411114225).

The spelling of 211201012113 in words is "two hundred eleven billion, two hundred one million, twelve thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 49 91 147 273 331 343 637 993 1029 1911 2317 4303 4459 6951 12909 13377 16219 30121 47699 48657 90363 113533 143097 210847 333893 340599 620087 632541 1001679 1475929 1860261 2337251 4340609 4427787 7011753 13021827 15788369 16360757 30384263 47365107 49082271 91152789 110518583 205248797 212689841 331555749 615746391 638069523 773630081 1436741579 2320890243 4310224737 5415410567 10057191053 16246231701 30171573159 70400337371 211201012113