Search a number
-
+
211121212211001 = 3389158875530141
BaseRepresentation
bin110000000000001101111100…
…110110111011111100111001
31000200111222202021110001021000
4300000031330312323330321
5210133002220311223001
62025003425043235213
762320001310350331
oct6000157466737471
91020458667401230
10211121212211001
11612a7004413454
121b818856978b09
1390a584ca787c1
143a1c46d4d00c1
151961b31d4ca86
hexc0037cdbbf39

211121212211001 has 32 divisors (see below), whose sum is σ = 316306425945600. Its totient is φ = 139157257599360.

The previous prime is 211121212210973. The next prime is 211121212211047. The reversal of 211121212211001 is 100112212121112.

It is a happy number.

211121212211001 is a `hidden beast` number, since 211 + 12 + 121 + 221 + 100 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-211121212211001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121212211501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35411391 + ... + 40941531.

It is an arithmetic number, because the mean of its divisors is an integer number (9884575810800).

Almost surely, 2211121212211001 is an apocalyptic number.

It is an amenable number.

211121212211001 is a deficient number, since it is larger than the sum of its proper divisors (105185213734599).

211121212211001 is a wasteful number, since it uses less digits than its factorization.

211121212211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546126 (or 5546120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121212211001 its reverse (100112212121112), we get a palindrome (311233424332113).

The spelling of 211121212211001 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 3 9 27 89 267 801 2403 15887 47661 142983 428949 1413943 4241829 5530141 12725487 16590423 38176461 49771269 149313807 492182549 1476547647 4429642941 13288928823 87857350067 263572050201 790716150603 2372148451809 7819304155963 23457912467889 70373737403667 211121212211001