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10100132989 is a prime number
BaseRepresentation
bin10010110100000001…
…11100110001111101
3222001220011220202121
421122000330301331
5131141113223424
64350120522541
7505201466602
oct113200746175
928056156677
1010100132989
114313297451
121b5a620451
13c4c67966b
146bb58a6a9
153e1a8bee4
hex25a03cc7d

10100132989 has 2 divisors, whose sum is σ = 10100132990. Its totient is φ = 10100132988.

The previous prime is 10100132983. The next prime is 10100133061. The reversal of 10100132989 is 98923100101.

10100132989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10091809764 + 8323225 = 100458^2 + 2885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100132989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100132983) 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 as a sum of consecutive naturals, namely, 5050066494 + 5050066495.

It is an arithmetic number, because the mean of its divisors is an integer number (5050066495).

Almost surely, 210100132989 is an apocalyptic number.

It is an amenable number.

10100132989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100132989 is an equidigital number, since it uses as much as digits as its factorization.

10100132989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 10100132989 in words is "ten billion, one hundred million, one hundred thirty-two thousand, nine hundred eighty-nine".