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10011141331023 = 3719113499444971
BaseRepresentation
bin1001000110101110011010…
…0001011101100001001111
31022110001111122121111210010
42101223212201131201033
52303010304140043043
633143015502244303
72052165262163040
oct221534641354117
938401448544703
1010011141331023
11320a779322a08
121158286b86693
1357807b437ca1
14268782aac8c7
1512562d0ed133
hex91ae685d84f

10011141331023 has 64 divisors (see below), whose sum is σ = 16232578560000. Its totient is φ = 5360827691520.

The previous prime is 10011141330991. The next prime is 10011141331067. The reversal of 10011141331023 is 32013314111001.

10011141331023 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 10011141331023 - 25 = 10011141330991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011141311023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22275928 + ... + 22720898.

It is an arithmetic number, because the mean of its divisors is an integer number (253634040000).

Almost surely, 210011141331023 is an apocalyptic number.

10011141331023 is a deficient number, since it is larger than the sum of its proper divisors (6221437228977).

10011141331023 is a wasteful number, since it uses less digits than its factorization.

10011141331023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445612.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10011141331023 its reverse (32013314111001), we get a palindrome (42024455442024).

The spelling of 10011141331023 in words is "ten trillion, eleven billion, one hundred forty-one million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 3 7 19 21 57 113 133 339 399 499 791 1497 2147 2373 3493 6441 9481 10479 15029 28443 45087 56387 66367 169161 199101 394709 444971 1071353 1184127 1334913 3114797 3214059 7499471 8454449 9344391 22498413 25363347 50281723 59181143 150845169 177543429 222040529 351972061 666121587 955352737 1055916183 1554283703 2866058211 4218770051 4662851109 6687469159 12656310153 20062407477 25090579777 29531390357 75271739331 88594171071 175634058439 476721015763 526902175317 1430163047289 3337047110341 10011141331023