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211110122120001 = 313131173238850993
BaseRepresentation
bin110000000000000011100111…
…110101100110001101000001
31000200110221010101111001101220
4300000003213311212031001
5210132312012230320001
62024554352400145253
762316126425212446
oct6000034765461501
91020427111431356
10211110122120001
11612a2333341995
121b816680908229
1390a47a3299990
143a1bada68b9cd
1519616d3414c36
hexc000e7d66341

211110122120001 has 32 divisors (see below), whose sum is σ = 307212059290752. Its totient is φ = 128176996346880.

The previous prime is 211110122119973. The next prime is 211110122120099. The reversal of 211110122120001 is 100021221011112.

It is a happy number.

It is not a de Polignac number, because 211110122120001 - 218 = 211110121857857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211110122121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118541640 + ... + 120309353.

It is an arithmetic number, because the mean of its divisors is an integer number (9600376852836).

Almost surely, 2211110122120001 is an apocalyptic number.

It is an amenable number.

211110122120001 is a deficient number, since it is larger than the sum of its proper divisors (96101937170751).

211110122120001 is a wasteful number, since it uses less digits than its factorization.

211110122120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238851313.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211110122120001 its reverse (100021221011112), we get a palindrome (311131343131113).

The spelling of 211110122120001 in words is "two hundred eleven trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one".

Divisors: 1 3 13 39 131 173 393 519 1703 2249 5109 6747 22663 67989 294619 883857 238850993 716552979 3105062909 9315188727 31289480083 41321221789 93868440249 123963665367 406763241079 537175883257 1220289723237 1611527649771 5413080054359 16239240163077 70370040706667 211110122120001