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999980000101 = 2924492648189
BaseRepresentation
bin11101000110100110111…
…00111110001101100101
310112121010022210022210001
432203103130332031211
5112340424340000401
62043215013501301
7132150302520205
oct16432334761545
93477108708701
10999980000101
113560a8705755
12141977341831
13733b40b5494
143658391c405
151b029b15601
hexe8d373e365

999980000101 has 12 divisors (see below), whose sum is σ = 1037958070500. Its totient is φ = 963347237888.

The previous prime is 999980000087. The next prime is 999980000113. The reversal of 999980000101 is 101000089999.

It is a Cunningham number, because it is equal to 9999902+1.

It can be written as a sum of positive squares in 6 ways, for example, as 2376562500 + 997603437601 = 48750^2 + 998801^2 .

It is not a de Polignac number, because 999980000101 - 235 = 965620261733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 999979999997 and 999980000051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999980000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946486 + ... + 1701703.

It is an arithmetic number, because the mean of its divisors is an integer number (86496505875).

Almost surely, 2999980000101 is an apocalyptic number.

It is an amenable number.

999980000101 is a deficient number, since it is larger than the sum of its proper divisors (37978070399).

999980000101 is a wasteful number, since it uses less digits than its factorization.

999980000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648696 (or 2648667 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 46.

The spelling of 999980000101 in words is "nine hundred ninety-nine billion, nine hundred eighty million, one hundred one", and thus it is an aban number.

Divisors: 1 29 449 841 13021 377609 2648189 76797481 1189036861 2227126949 34482068969 999980000101