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10133020302120 = 23325613221143257
BaseRepresentation
bin1001001101110100011100…
…0100110101101100101000
31022212201002121101202001200
42103131013010311230220
52312004411144131440
633315013435444200
72064041455302222
oct223350704655450
938781077352050
1010133020302120
11325743187a901
121177a1bbb6660
135867029a2371
142706257a7412
151288b300ac30
hex93747135b28

10133020302120 has 192 divisors, whose sum is σ = 33482815601040. Its totient is φ = 2656997683200.

The previous prime is 10133020302113. The next prime is 10133020302121. The reversal of 10133020302120 is 2120302033101.

10133020302120 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 20 + 302 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 380153632356 + 9752866669764 = 616566^2 + 3122958^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10133020302093 and 10133020302102.

It is not an unprimeable number, because it can be changed into a prime (10133020302121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70661532 + ... + 70804788.

Almost surely, 210133020302120 is an apocalyptic number.

10133020302120 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 10133020302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16741407800520).

10133020302120 is an abundant number, since it is smaller than the sum of its proper divisors (23349795298920).

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

10133020302120 is a wasteful number, since it uses less digits than its factorization.

10133020302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146556 (or 146549 counting only the distinct ones).

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

Adding to 10133020302120 its reverse (2120302033101), we get a palindrome (12253322335221).

The spelling of 10133020302120 in words is "ten trillion, one hundred thirty-three billion, twenty million, three hundred two thousand, one hundred twenty".