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211122012121110 = 23256949337573771
BaseRepresentation
bin110000000000001110101100…
…100010010110100000010110
31000200112001211000121200122100
4300000032230202112200112
5210133010340100333420
62025004040300142530
762320030162440636
oct6000165442264026
91020461730550570
10211122012121110
11612a73849a2792
121b818a3a837a46
1390a59496c97ac
143a1c5078346c6
151961b7c1a8190
hexc003ac896816

211122012121110 has 48 divisors (see below), whose sum is σ = 548996225403600. Its totient is φ = 56291101295040.

The previous prime is 211122012121103. The next prime is 211122012121117. The reversal of 211122012121110 is 11121210221112.

It is a happy number.

211122012121110 is a `hidden beast` number, since 2 + 111 + 220 + 121 + 211 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211122012121103) and next prime (211122012121117).

It is a super-2 number, since 2×2111220121211102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122012121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168161476 + ... + 169412295.

It is an arithmetic number, because the mean of its divisors is an integer number (11437421362575).

Almost surely, 2211122012121110 is an apocalyptic number.

211122012121110 is an abundant number, since it is smaller than the sum of its proper divisors (337874213282490).

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

211122012121110 is a wasteful number, since it uses less digits than its factorization.

211122012121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337580733 (or 337580730 counting only the distinct ones).

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

Adding to 211122012121110 its reverse (11121210221112), we get a palindrome (222243222342222).

The spelling of 211122012121110 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6949 13898 20847 34745 41694 62541 69490 104235 125082 208470 312705 625410 337573771 675147542 1012721313 1687868855 2025442626 3038163939 3375737710 5063606565 6076327878 10127213130 15190819695 30381639390 2345800134679 4691600269358 7037400404037 11729000673395 14074800808074 21112201212111 23458001346790 35187002020185 42224402424222 70374004040370 105561006060555 211122012121110