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11141023311 = 3311531275573
BaseRepresentation
bin10100110000000111…
…01000011001001111
31001202102210121212000
422120003220121033
5140304100221221
65041302443343
7543041064345
oct123003503117
931672717760
1011141023311
1147a78a9790
1221ab133553
1310872026b2
147798dd995
15453148e26
hex2980e864f

11141023311 has 64 divisors (see below), whose sum is σ = 18493194240. Its totient is φ = 6571393920.

The previous prime is 11141023259. The next prime is 11141023339. The reversal of 11141023311 is 11332014111.

It is a happy number.

11141023311 is a `hidden beast` number, since 1 + 11 + 410 + 233 + 11 = 666.

It is not a de Polignac number, because 11141023311 - 27 = 11141023183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141023211) 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, 1996321 + ... + 2001893.

It is an arithmetic number, because the mean of its divisors is an integer number (288956160).

Almost surely, 211141023311 is an apocalyptic number.

11141023311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11141023311 is a deficient number, since it is larger than the sum of its proper divisors (7352170929).

11141023311 is a wasteful number, since it uses less digits than its factorization.

11141023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11141023311 its reverse (11332014111), we get a palindrome (22473037422).

The spelling of 11141023311 in words is "eleven billion, one hundred forty-one million, twenty-three thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 53 99 127 159 297 381 477 583 1143 1397 1431 1749 3429 4191 5247 5573 6731 12573 15741 16719 20193 37719 50157 60579 61303 74041 150471 181737 183909 222123 295369 551727 666369 707771 886107 1655181 1999107 2123313 2658321 3249059 6369939 7785481 7974963 9747177 19109817 23356443 29241531 37511863 70069329 87724593 112535589 210207987 337606767 412630493 1012820301 1237891479 3713674437 11141023311