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11231320158 = 23229415091031
BaseRepresentation
bin10100111010111000…
…00101100001011110
31001222201201011211200
422131130011201132
5141000204221113
65054250100330
7545215434432
oct123534054136
931881634750
1011231320158
114843873083
12221541a6a6
13109cb29796
147878c69c2
1545b033873
hex29d70585e

11231320158 has 96 divisors (see below), whose sum is σ = 25863364800. Its totient is φ = 3516172800.

The previous prime is 11231320157. The next prime is 11231320159. The reversal of 11231320158 is 85102313211.

11231320158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11231320157) and next prime (11231320159).

It is a super-2 number, since 2×112313201582 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231320157) 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 47 ways as a sum of consecutive naturals, for example, 10893103 + ... + 10894133.

It is an arithmetic number, because the mean of its divisors is an integer number (269410050).

Almost surely, 211231320158 is an apocalyptic number.

11231320158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231320158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931682400).

11231320158 is an abundant number, since it is smaller than the sum of its proper divisors (14632044642).

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

11231320158 is a wasteful number, since it uses less digits than its factorization.

11231320158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11231320158 its reverse (85102313211), we get a palindrome (96333633369).

The spelling of 11231320158 in words is "eleven billion, two hundred thirty-one million, three hundred twenty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 509 522 738 1018 1031 1189 1527 2062 2378 3054 3093 3567 4581 6186 7134 9162 9279 10701 14761 18558 20869 21402 29522 29899 41738 42271 44283 59798 62607 84542 88566 89697 125214 126813 132849 179394 187821 253626 265698 269091 375642 380439 524779 538182 605201 760878 1049558 1210402 1225859 1574337 1815603 2451718 3148674 3631206 3677577 4723011 5446809 7355154 9446022 10893618 11032731 15218591 21515939 22065462 30437182 43031878 45655773 64547817 91311546 129095634 136967319 193643451 273934638 387286902 623962231 1247924462 1871886693 3743773386 5615660079 11231320158