Search a number
-
+
211122100120122 = 23331669112345373
BaseRepresentation
bin110000000000001110110001…
…110010000010101000111010
31000200112002001011012111121000
4300000032301302002220322
5210133011030112320442
62025004053122225430
762320032311430552
oct6000166162025072
91020462034174530
10211122100120122
11612a741a637744
121b818a641b5276
1390a59619caa09
143a1c5153c0162
151961b84c8bd4c
hexc003b1c82a3a

211122100120122 has 32 divisors (see below), whose sum is σ = 469161741936960. Its totient is φ = 70373805456240.

The previous prime is 211122100120033. The next prime is 211122100120159. The reversal of 211122100120122 is 221021001221112.

211122100120122 is a `hidden beast` number, since 211 + 1 + 2 + 210 + 0 + 120 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211122100120095 and 211122100120104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10928628 + ... + 23274000.

It is an arithmetic number, because the mean of its divisors is an integer number (14661304435530).

Almost surely, 2211122100120122 is an apocalyptic number.

211122100120122 is an abundant number, since it is smaller than the sum of its proper divisors (258039641816838).

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

211122100120122 is a wasteful number, since it uses less digits than its factorization.

211122100120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662075 (or 12662069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122100120122 its reverse (221021001221112), we get a palindrome (432143101341234).

The spelling of 211122100120122 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 316691 633382 950073 1900146 2850219 5700438 8550657 12345373 17101314 24690746 37036119 74072238 111108357 222216714 333325071 666650142 3909668520743 7819337041486 11729005562229 23458011124458 35187016686687 70374033373374 105561050060061 211122100120122