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10100021033 is a prime number
BaseRepresentation
bin10010110100000001…
…00001011100101001
3222001212222020012002
421122000201130221
5131141101133113
64350114300345
7505200522314
oct113200413451
928055866162
1010100021033
114313220323
121b5a5876b5
13c4c63a70b
146bb55b97b
153e1a68c58
hex25a021729

10100021033 has 2 divisors, whose sum is σ = 10100021034. Its totient is φ = 10100021032.

The previous prime is 10100020991. The next prime is 10100021047. The reversal of 10100021033 is 33012000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9648543529 + 451477504 = 98227^2 + 21248^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100021033 - 210 = 10100020009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100021233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050010516 + 5050010517.

It is an arithmetic number, because the mean of its divisors is an integer number (5050010517).

Almost surely, 210100021033 is an apocalyptic number.

It is an amenable number.

10100021033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100021033 is an equidigital number, since it uses as much as digits as its factorization.

10100021033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10100021033 its reverse (33012000101), we get a palindrome (43112021134).

The spelling of 10100021033 in words is "ten billion, one hundred million, twenty-one thousand, thirty-three".