Search a number
-
+
1133312020211 = 7331720535077
BaseRepresentation
bin10000011111011110101…
…010010000111011110011
311000100021110111201201002
4100133132222100323303
5122032010334121321
62224345241432215
7144610346141000
oct20373652207363
94010243451632
101133312020211
113a76a90a9908
12163787a9b66b
1382b423a0937
143cbd173a8a7
151e73025420b
hex107dea90ef3

1133312020211 has 32 divisors (see below), whose sum is σ = 1326722966400. Its totient is φ = 967683604608.

The previous prime is 1133312020177. The next prime is 1133312020259. The reversal of 1133312020211 is 1120202133311.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1133312020211 is a prime.

It is a super-2 number, since 2×11333120202112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133312020261) 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 31 ways as a sum of consecutive naturals, for example, 223222205 + ... + 223227281.

It is an arithmetic number, because the mean of its divisors is an integer number (41460092700).

Almost surely, 21133312020211 is an apocalyptic number.

1133312020211 is a deficient number, since it is larger than the sum of its proper divisors (193410946189).

1133312020211 is an equidigital number, since it uses as much as digits as its factorization.

1133312020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1133312020211 its reverse (1120202133311), we get a palindrome (2253514153522).

The spelling of 1133312020211 in words is "one trillion, one hundred thirty-three billion, three hundred twelve million, twenty thousand, two hundred eleven".

Divisors: 1 7 49 317 343 2053 2219 5077 14371 15533 35539 100597 108731 248773 650801 704179 1609409 1741411 4555607 10423081 11265863 31889249 72961567 78861041 223224743 510730969 552027287 3304116677 3575116783 23128816739 161901717173 1133312020211