Search a number
-
+
2102102422144 = 2741400553053
BaseRepresentation
bin11110100101101111000…
…100010111001010000000
321102221220010120022012121
4132211233010113022000
5233420101210002034
64245405330134024
7304605025526134
oct36455704271200
97387803508177
102102102422144
1174055101984a
1229b499a21314
131232c57cc28a
1473a56c2b3c4
1539a31aac1b4
hex1e96f117280

2102102422144 has 32 divisors (see below), whose sum is σ = 4289923208340. Its totient is φ = 1025415813120.

The previous prime is 2102102422141. The next prime is 2102102422159. The reversal of 2102102422144 is 4412242012012.

It can be written as a sum of positive squares in 2 ways, for example, as 2099276436544 + 2825985600 = 1448888^2 + 53160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2102102422141) 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 3 ways as a sum of consecutive naturals, for example, 200271279 + ... + 200281774.

Almost surely, 22102102422144 is an apocalyptic number.

It is an amenable number.

2102102422144 is an abundant number, since it is smaller than the sum of its proper divisors (2187820786196).

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

2102102422144 is an equidigital number, since it uses as much as digits as its factorization.

2102102422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400553108 (or 400553096 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2102102422144 its reverse (4412242012012), we get a palindrome (6514344434156).

The spelling of 2102102422144 in words is "two trillion, one hundred two billion, one hundred two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 400553053 801106106 1602212212 3204424424 6408848848 12817697696 16422675173 25635395392 32845350346 51270790784 65690700692 131381401384 262762802768 525525605536 1051051211072 2102102422144