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11252311325211 = 3113770912998099
BaseRepresentation
bin1010001110111110001000…
…0001001111101000011011
31110211201011220221000120010
42203233202001033220123
52433324213144401321
635533123534533003
72240644523103465
oct243574201175033
943751156830503
1011252311325211
113649095439a90
121318934367163
1363811c2c1ba8
142ac886d23135
15147a72380676
hexa3be204fa1b

11252311325211 has 32 divisors (see below), whose sum is σ = 16833059424000. Its totient is φ = 6625910436480.

The previous prime is 11252311325201. The next prime is 11252311325219.

11252311325211 is nontrivially palindromic in base 10.

11252311325211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11252311325211 - 27 = 11252311325083 is a prime.

It is a super-2 number, since 2×112523113252112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11252311325219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5633361 + ... + 7364738.

It is an arithmetic number, because the mean of its divisors is an integer number (526033107000).

Almost surely, 211252311325211 is an apocalyptic number.

11252311325211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11252311325211 is a deficient number, since it is larger than the sum of its proper divisors (5580748098789).

11252311325211 is a wasteful number, since it uses less digits than its factorization.

11252311325211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12998859.

The product of its digits is 3600, while the sum is 30.

The spelling of 11252311325211 in words is "eleven trillion, two hundred fifty-two billion, three hundred eleven million, three hundred twenty-five thousand, two hundred eleven".

Divisors: 1 3 11 33 37 111 407 709 1221 2127 7799 23397 26233 78699 288563 865689 12998099 38994297 142979089 428937267 480929663 1442788989 5290226293 9215652191 15870678879 27646956573 101372174101 304116522303 340979131067 1022937393201 3750770441737 11252311325211