Search a number
-
+
2112202341520 = 245175237296561
BaseRepresentation
bin11110101111001001000…
…100011111110010010000
321110220222000100100221121
4132233021010133302100
5234101242244412040
64254155442332024
7305413225446205
oct36571104376220
97426860310847
102112202341520
1174486417a757
122a143835a014
1312424510262b
147433435dcac
1539e23605c4a
hex1ebc911fc90

2112202341520 has 80 divisors (see below), whose sum is σ = 5200755599088. Its totient is φ = 795027537920.

The previous prime is 2112202341467. The next prime is 2112202341551. The reversal of 2112202341520 is 251432022112.

It can be written as a sum of positive squares in 8 ways, for example, as 716203378944 + 1395998962576 = 846288^2 + 1181524^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21122023415202 (a number of 25 digits) contains 22 as substring.

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, 6974040 + ... + 7270600.

Almost surely, 22112202341520 is an apocalyptic number.

2112202341520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202341520 is an abundant number, since it is smaller than the sum of its proper divisors (3088553257568).

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

2112202341520 is a wasteful number, since it uses less digits than its factorization.

2112202341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301828 (or 301822 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2112202341520 its reverse (251432022112), we get a palindrome (2363634363632).

The spelling of 2112202341520 in words is "two trillion, one hundred twelve billion, two hundred two million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5237 10474 20948 26185 41896 52370 83792 89029 104740 178058 209480 296561 356116 418960 445145 593122 712232 890290 1186244 1424464 1482805 1780580 2372488 2965610 3561160 4744976 5041537 5931220 7122320 10083074 11862440 20166148 23724880 25207685 40332296 50415370 80664592 100830740 201661480 403322960 1553089957 3106179914 6212359828 7765449785 12424719656 15530899570 24849439312 26402529269 31061799140 52805058538 62123598280 105610117076 124247196560 132012646345 211220234152 264025292690 422440468304 528050585380 1056101170760 2112202341520