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10000001001149 is a prime number
BaseRepresentation
bin1001000110000100111010…
…0000011110011010111101
31022101222202021010010010222
42101201032200132122331
52302320000224014044
633133534222311125
72051322230014145
oct221411640363275
938358667103128
1010000001001149
113205a81958215
1211560981284a5
13576cc4419113
1426800730d925
151251ca08e8ee
hex9184e81e6bd

10000001001149 has 2 divisors, whose sum is σ = 10000001001150. Its totient is φ = 10000001001148.

The previous prime is 10000001001139. The next prime is 10000001001161. The reversal of 10000001001149 is 94110010000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5046897040900 + 4953103960249 = 2246530^2 + 2225557^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001001149 - 220 = 9999999952573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000500574 + 5000000500575.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000500575).

Almost surely, 210000001001149 is an apocalyptic number.

It is an amenable number.

10000001001149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001001149 is an equidigital number, since it uses as much as digits as its factorization.

10000001001149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10000001001149 in words is "ten trillion, one million, one thousand, one hundred forty-nine".