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999101424221 = 17292163742689
BaseRepresentation
bin11101000100111110001…
…01011110001001011101
310112111212002121001020122
432202133011132021131
5112332124431033341
62042551510524325
7132116443661405
oct16423705361135
93474762531218
10999101424221
1135579778668a
121417710666a5
13732a40804b4
14364dcd7b805
151aec791b94b
hexe89f15e25d

999101424221 has 24 divisors (see below), whose sum is σ = 1096303277160. Its totient is φ = 907329683456.

The previous prime is 999101424161. The next prime is 999101424239. The reversal of 999101424221 is 122424101999.

It can be written as a sum of positive squares in 12 ways, for example, as 313499208100 + 685602216121 = 559910^2 + 828011^2 .

It is not a de Polignac number, because 999101424221 - 230 = 998027682397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999101424241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23382845 + ... + 23425533.

It is an arithmetic number, because the mean of its divisors is an integer number (45679303215).

Almost surely, 2999101424221 is an apocalyptic number.

It is an amenable number.

999101424221 is a deficient number, since it is larger than the sum of its proper divisors (97201852939).

999101424221 is a wasteful number, since it uses less digits than its factorization.

999101424221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44401 (or 44372 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 999101424221 in words is "nine hundred ninety-nine billion, one hundred one million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 17 29 493 841 1637 14297 27829 42689 47473 725713 807041 1237981 1376717 21045677 23404189 35901449 69881893 610324633 1187992181 2026574897 34451773249 58770672013 999101424221