Search a number
-
+
112467000321 = 3213285992
BaseRepresentation
bin110100010111110001…
…1100011110000000001
3101202022000111120121100
41220233203203300001
53320313023002241
6123355554045013
711061015505134
oct1505743436001
9352260446540
10112467000321
1143773764a55
1219968b79769
13a7b4643c00
14562cac421b
152dd39a59b6
hex1a2f8e3c01

112467000321 has 27 divisors (see below), whose sum is σ = 175930382979. Its totient is φ = 69202413072.

The previous prime is 112467000319. The next prime is 112467000341. The reversal of 112467000321 is 123000764211.

The square root of 112467000321 is 335361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16637130225 + 95829870096 = 128985^2 + 309564^2 .

It is not a de Polignac number, because 112467000321 - 21 = 112467000319 is a prime.

It is a super-2 number, since 2×1124670003212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112467000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13074780 + ... + 13083378.

Almost surely, 2112467000321 is an apocalyptic number.

112467000321 is the 335361-st square number.

112467000321 is the 167681-st centered octagonal number.

It is an amenable number.

112467000321 is a deficient number, since it is larger than the sum of its proper divisors (63463382658).

112467000321 is an frugal number, since it uses more digits than its factorization.

112467000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 112467000321 its reverse (123000764211), we get a palindrome (235467764532).

The spelling of 112467000321 in words is "one hundred twelve billion, four hundred sixty-seven million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 169 507 1521 8599 25797 77391 111787 335361 1006083 1453231 4359693 13079079 73942801 221828403 665485209 961256413 2883769239 8651307717 12496333369 37489000107 112467000321