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11152311324 = 223711731011637
BaseRepresentation
bin10100110001011101…
…01100010000011100
31001210020001010002120
422120232230100130
5140314442430244
65042344422540
7543236040120
oct123056542034
931706033076
1011152311324
114803209620
1221b2a77a50
1310896555ab
1477b1db580
15454128819
hex298bac41c

11152311324 has 192 divisors, whose sum is σ = 33233421312. Its totient is φ = 2827008000.

The previous prime is 11152311319. The next prime is 11152311337. The reversal of 11152311324 is 42311325111.

It is a junction number, because it is equal to n+sod(n) for n = 11152311294 and 11152311303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6811834 + ... + 6813470.

It is an arithmetic number, because the mean of its divisors is an integer number (173090736).

Almost surely, 211152311324 is an apocalyptic number.

11152311324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616710656).

11152311324 is an abundant number, since it is smaller than the sum of its proper divisors (22081109988).

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

11152311324 is a wasteful number, since it uses less digits than its factorization.

11152311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 11152311324 its reverse (42311325111), we get a palindrome (53463636435).

The spelling of 11152311324 in words is "eleven billion, one hundred fifty-two million, three hundred eleven thousand, three hundred twenty-four".