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1002145350101 = 72412832099081
BaseRepresentation
bin11101001010101001000…
…01001000000111010101
310112210201020021111120012
432211110201020013111
5112404343202200401
62044213524450005
7132255044633030
oct16452441100725
93483636244505
101002145350101
11357009a19205
12142280549905
137366a8a447c
143670b33a017
151b104c8a8bb
hexe9548481d5

1002145350101 has 16 divisors (see below), whose sum is σ = 1154125661568. Its totient is φ = 852394406400.

The previous prime is 1002145350091. The next prime is 1002145350133. The reversal of 1002145350101 is 1010535412001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002145350101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002145350601) 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 in 15 ways as a sum of consecutive naturals, for example, 572120 + ... + 1526961.

It is an arithmetic number, because the mean of its divisors is an integer number (72132853848).

Almost surely, 21002145350101 is an apocalyptic number.

It is an amenable number.

1002145350101 is a deficient number, since it is larger than the sum of its proper divisors (151980311467).

1002145350101 is a wasteful number, since it uses less digits than its factorization.

1002145350101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099612.

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 1002145350101 in words is "one trillion, two billion, one hundred forty-five million, three hundred fifty thousand, one hundred one".

Divisors: 1 7 241 283 1687 1981 68203 477421 2099081 14693567 505878521 594039923 3541149647 4158279461 143163621443 1002145350101