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11352142305 = 35576472063
BaseRepresentation
bin10101001001010001…
…11111000111100001
31002022011001120200000
422210220333013201
5141222122023210
65114243450213
7551213421540
oct124450770741
932264046600
1011352142305
1148a5a96599
122249986969
1310bbb8098a
14799978157
1546694cac0
hex2a4a3f1e1

11352142305 has 96 divisors (see below), whose sum is σ = 23368310784. Its totient is φ = 5179018176.

The previous prime is 11352142303. The next prime is 11352142331. The reversal of 11352142305 is 50324125311.

11352142305 is a `hidden beast` number, since 1 + 1 + 352 + 1 + 4 + 2 + 305 = 666.

11352142305 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 11352142305 - 21 = 11352142303 is a prime.

It is a super-2 number, since 2×113521423052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11352142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5501704 + ... + 5503766.

It is an arithmetic number, because the mean of its divisors is an integer number (243419904).

Almost surely, 211352142305 is an apocalyptic number.

11352142305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11352142305 is an abundant number, since it is smaller than the sum of its proper divisors (12016168479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11352142305 is an equidigital number, since it uses as much as digits as its factorization.

11352142305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11352142305 its reverse (50324125311), we get a palindrome (61676267616).

The spelling of 11352142305 in words is "eleven billion, three hundred fifty-two million, one hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 647 945 1215 1701 1941 2063 2835 3235 4529 5823 6189 8505 9705 10315 13587 14441 17469 18567 22645 29115 30945 40761 43323 52407 55701 67935 72205 87345 92835 122283 129969 157221 167103 203805 216615 262035 278505 366849 389907 501309 611415 649845 786105 835515 1100547 1169721 1334761 1834245 1949535 2506545 3509163 4004283 5502735 5848605 6673805 9343327 12012849 17545815 20021415 28029981 36038547 46716635 60064245 84089943 108115641 140149905 180192735 252269829 324346923 420449715 540578205 756809487 1261349145 1621734615 2270428461 3784047435 11352142305