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11348721681 = 31110119117827
BaseRepresentation
bin10101001000110111…
…11100000000010001
31002021220121210110020
422210123330000101
5141220233043211
65114042254053
7551142354063
oct124433740021
932256553406
1011348721681
1148a406a630
1222487b7329
1310bb253a3b
14799327733
154664c4306
hex2a46fc011

11348721681 has 32 divisors (see below), whose sum is σ = 16758890496. Its totient is φ = 6773880000.

The previous prime is 11348721563. The next prime is 11348721689. The reversal of 11348721681 is 18612784311.

It is not a de Polignac number, because 11348721681 - 211 = 11348719633 is a prime.

It is a super-2 number, since 2×113487216812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11348721689) 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, 627690 + ... + 645516.

It is an arithmetic number, because the mean of its divisors is an integer number (523715328).

Almost surely, 211348721681 is an apocalyptic number.

11348721681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11348721681 is a deficient number, since it is larger than the sum of its proper divisors (5410168815).

11348721681 is a wasteful number, since it uses less digits than its factorization.

11348721681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18133.

The product of its digits is 64512, while the sum is 42.

The spelling of 11348721681 in words is "eleven billion, three hundred forty-eight million, seven hundred twenty-one thousand, six hundred eighty-one".

Divisors: 1 3 11 33 101 191 303 573 1111 2101 3333 6303 17827 19291 53481 57873 196097 212201 588291 636603 1800527 3404957 5401581 10214871 19805797 37454527 59417391 112363581 343900657 1031701971 3782907227 11348721681