Search a number
-
+
2111220202122 = 232645118181679
BaseRepresentation
bin11110101110001110100…
…001111011101010001010
321110211102120021111222100
4132232032201323222022
5234042234332431442
64253514155534230
7305350001424063
oct36561641735212
97424376244870
102111220202122
117443aa8458a9
122a120345a376
131241197a9b65
147427db4156a
1539db72a184c
hex1eb8e87ba8a

2111220202122 has 24 divisors (see below), whose sum is σ = 4575019775040. Its totient is φ = 703630938600.

The previous prime is 2111220202121. The next prime is 2111220202139. The reversal of 2111220202122 is 2212020221112.

It is a happy number.

2111220202122 is a `hidden beast` number, since 211 + 1 + 220 + 20 + 212 + 2 = 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 = 2111220202095 and 2111220202104.

It is not an unprimeable number, because it can be changed into a prime (2111220202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974722 + ... + 9206957.

It is an arithmetic number, because the mean of its divisors is an integer number (190625823960).

Almost surely, 22111220202122 is an apocalyptic number.

2111220202122 is an abundant number, since it is smaller than the sum of its proper divisors (2463799572918).

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

2111220202122 is a wasteful number, since it uses less digits than its factorization.

2111220202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18188138 (or 18188135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2111220202122 its reverse (2212020221112), we get a palindrome (4323240423234).

The spelling of 2111220202122 in words is "two trillion, one hundred eleven billion, two hundred twenty million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6451 12902 19353 38706 58059 116118 18181679 36363358 54545037 109090074 163635111 327270222 117290011229 234580022458 351870033687 703740067374 1055610101061 2111220202122