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1121131313232 = 2437591011274409
BaseRepresentation
bin10000010100001000101…
…000100011100001010000
310222011211120100200222120
4100110020220203201100
5121332034104010412
62215012434534240
7143666451632520
oct20241050434120
93864746320876
101121131313232
113a2518442427
12161348737380
1381950978508
143c397b1d680
151e26abdab8c
hex10508a23850

1121131313232 has 320 divisors, whose sum is σ = 3426980659200. Its totient is φ = 309251174400.

The previous prime is 1121131313227. The next prime is 1121131313321. The reversal of 1121131313232 is 2323131311211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 254280244 + ... + 254284652.

It is an arithmetic number, because the mean of its divisors is an integer number (10709314560).

Almost surely, 21121131313232 is an apocalyptic number.

1121131313232 is a gapful number since it is divisible by the number (12) 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 1121131313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713490329600).

1121131313232 is an abundant number, since it is smaller than the sum of its proper divisors (2305849345968).

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

1121131313232 is a wasteful number, since it uses less digits than its factorization.

1121131313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4708 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1121131313232 its reverse (2323131311211), we get a palindrome (3444262624443).

The spelling of 1121131313232 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred thirty-two".