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23046011330100 = 2235211173359122299
BaseRepresentation
bin1010011110101110100010…
…10100011001111000110100
310000121011210011011112020220
411033113101110121320310
511010041212400030400
6121003105204054340
74566006434104353
oct517272124317064
9100534704145226
1023046011330100
117385838651060
12270257a6943b0
13cb22ca3cb045
1459960bc3d99a
1529e72dbd67a0
hex14f5d1519e34

23046011330100 has 288 divisors, whose sum is σ = 77044068864000. Its totient is φ = 5256661555200.

The previous prime is 23046011330063. The next prime is 23046011330107. The reversal of 23046011330100 is 103311064032.

It is a happy number.

It is a super-2 number, since 2×230460113301002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046011330107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188378751 + ... + 188501049.

It is an arithmetic number, because the mean of its divisors is an integer number (267514128000).

Almost surely, 223046011330100 is an apocalyptic number.

23046011330100 is a gapful number since it is divisible by the number (20) 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 23046011330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38522034432000).

23046011330100 is an abundant number, since it is smaller than the sum of its proper divisors (53998057533900).

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

23046011330100 is a wasteful number, since it uses less digits than its factorization.

23046011330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125703 (or 125696 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23046011330100 its reverse (103311064032), we get a palindrome (23149322394132).

The spelling of 23046011330100 in words is "twenty-three trillion, forty-six billion, eleven million, three hundred thirty thousand, one hundred".