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11522142324 = 22337113737447
BaseRepresentation
bin10101011101100010…
…11111000001110100
31002201222221110212000
422232301133001310
5142044132023244
65143155255300
7555346410450
oct125661370164
932658843760
1011522142324
114982a49080
1222968aa530
131118162cc4
147b438b660
1547682d169
hex2aec5f074

11522142324 has 192 divisors, whose sum is σ = 38250885120. Its totient is φ = 2911800960.

The previous prime is 11522142323. The next prime is 11522142347. The reversal of 11522142324 is 42324122511.

11522142324 is a `hidden beast` number, since 1 + 15 + 221 + 423 + 2 + 4 = 666.

It is a super-3 number, since 3×115221423243 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522142323) 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, 288969 + ... + 326415.

It is an arithmetic number, because the mean of its divisors is an integer number (199223360).

Almost surely, 211522142324 is an apocalyptic number.

11522142324 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 11522142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125442560).

11522142324 is an abundant number, since it is smaller than the sum of its proper divisors (26728742796).

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

11522142324 is a wasteful number, since it uses less digits than its factorization.

11522142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37515 (or 37507 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 11522142324 its reverse (42324122511), we get a palindrome (53846264835).

The spelling of 11522142324 in words is "eleven billion, five hundred twenty-two million, one hundred forty-two thousand, three hundred twenty-four".