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1132323320100 = 2235272357141057
BaseRepresentation
bin10000011110100011101…
…110101011000100100100
311000020201120002120010110
4100132203232223010210
5122022444232220400
62224103202253020
7144544012262250
oct20364356530444
94006646076113
101132323320100
113a7240aa3885
12163550957170
1382a155bbb9b
143cb3a2d1260
151e6c3555e50
hex107a3bab124

1132323320100 has 288 divisors, whose sum is σ = 3913945491456. Its totient is φ = 247124275200.

The previous prime is 1132323320053. The next prime is 1132323320111. The reversal of 1132323320100 is 10233232311.

It is a super-2 number, since 2×11323233201002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27558772 + ... + 27599828.

It is an arithmetic number, because the mean of its divisors is an integer number (13590088512).

Almost surely, 21132323320100 is an apocalyptic number.

1132323320100 is a gapful number since it is divisible by the number (10) 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 1132323320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956972745728).

1132323320100 is an abundant number, since it is smaller than the sum of its proper divisors (2781622171356).

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

1132323320100 is a wasteful number, since it uses less digits than its factorization.

1132323320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41675 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1132323320100 its reverse (10233232311), we get a palindrome (1142556552411).

The spelling of 1132323320100 in words is "one trillion, one hundred thirty-two billion, three hundred twenty-three million, three hundred twenty thousand, one hundred".