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13122210323232 = 2532172680190017
BaseRepresentation
bin1011111011110100000010…
…1011110101101100100000
31201110110201101210012020100
42332331000223311230200
53204443241320320412
643524132111542400
72523022414250013
oct276750053655440
951413641705210
1013122210323232
1141aa1096a542a
12157b20982aa00
1374255aa79b4a
14335192b3537a
1517b5136e7edc
hexbef40af5b20

13122210323232 has 72 divisors (see below), whose sum is σ = 39511361245356. Its totient is φ = 4116771864576.

The previous prime is 13122210323221. The next prime is 13122210323273. The reversal of 13122210323232 is 23232301222131.

13122210323232 is a `hidden beast` number, since 1 + 3 + 122 + 210 + 3 + 2 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13077162807696 + 45047515536 = 3616236^2 + 212244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13122210323196 and 13122210323205.

It is an unprimeable number.

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, 1340090113 + ... + 1340099904.

Almost surely, 213122210323232 is an apocalyptic number.

13122210323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122210323232 is an abundant number, since it is smaller than the sum of its proper divisors (26389150922124).

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

13122210323232 is a wasteful number, since it uses less digits than its factorization.

13122210323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680190050 (or 2680190039 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13122210323232 its reverse (23232301222131), we get a palindrome (36354511545363).

The spelling of 13122210323232 in words is "thirteen trillion, one hundred twenty-two billion, two hundred ten million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 2680190017 5360380034 8040570051 10720760068 16081140102 21441520136 24121710153 32162280204 42883040272 45563230289 48243420306 64324560408 85766080544 91126460578 96486840612 128649120816 136689690867 182252921156 192973681224 257298241632 273379381734 364505842312 385947362448 410069072601 546758763468 729011684624 771894724896 820138145202 1093517526936 1458023369248 1640276290404 2187035053872 3280552580808 4374070107744 6561105161616 13122210323232