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1223030132100 = 2233527557116177
BaseRepresentation
bin10001110011000010010…
…001101100110110000100
311022220212001222001001000
4101303002101230312010
5130014231203211400
62333504032133300
7154234553411220
oct21630221546604
94286761861030
101223030132100
11431758697217
12179046397230
138b43c996cca
14432a301b780
1521c3199d600
hex11cc246cd84

1223030132100 has 288 divisors, whose sum is σ = 4501609378560. Its totient is φ = 279045457920.

The previous prime is 1223030132087. The next prime is 1223030132101. The reversal of 1223030132100 is 12310303221.

1223030132100 is a `hidden beast` number, since 1 + 2 + 230 + 301 + 32 + 100 = 666.

It is a super-3 number, since 3×12230301321003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1223030132101) 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 95 ways as a sum of consecutive naturals, for example, 10469212 + ... + 10585388.

It is an arithmetic number, because the mean of its divisors is an integer number (15630588120).

Almost surely, 21223030132100 is an apocalyptic number.

1223030132100 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 1223030132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250804689280).

1223030132100 is an abundant number, since it is smaller than the sum of its proper divisors (3278579246460).

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

1223030132100 is a wasteful number, since it uses less digits than its factorization.

1223030132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116764 (or 116751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1223030132100 its reverse (12310303221), we get a palindrome (1235340435321).

The spelling of 1223030132100 in words is "one trillion, two hundred twenty-three billion, thirty million, one hundred thirty-two thousand, one hundred".