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10000101111149 is a prime number
BaseRepresentation
bin1001000110000101010001…
…1110010111010101101101
31022102000000020111020020202
42101201110132113111231
52302320201341024044
633133552200123245
72051324553645062
oct221412436272555
938360006436222
1010000101111149
113206023414356
121156105766525
1357700c09a9c6
1426801672cc69
151251d3c66c4e
hex9185479756d

10000101111149 has 2 divisors, whose sum is σ = 10000101111150. Its totient is φ = 10000101111148.

The previous prime is 10000101111101. The next prime is 10000101111163. The reversal of 10000101111149 is 94111110100001.

10000101111149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6894205965124 + 3105895146025 = 2625682^2 + 1762355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000101111149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000101111149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101111179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050555574 + 5000050555575.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050555575).

Almost surely, 210000101111149 is an apocalyptic number.

It is an amenable number.

10000101111149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101111149 is an equidigital number, since it uses as much as digits as its factorization.

10000101111149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 10000101111149 in words is "ten trillion, one hundred one million, one hundred eleven thousand, one hundred forty-nine".