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999980000100 = 2234524122712
BaseRepresentation
bin11101000110100110111…
…00111110001101100100
310112121010022210022210000
432203103130332031210
5112340424340000400
62043215013501300
7132150302520204
oct16432334761544
93477108708700
10999980000100
113560a8705754
12141977341830
13733b40b5493
143658391c404
151b029b15600
hexe8d373e364

999980000100 has 405 divisors, whose sum is σ = 3334835901243. Its totient is φ = 259197408000.

The previous prime is 999980000087. The next prime is 999980000113. The reversal of 999980000100 is 1000089999.

The square root of 999980000100 is 999990.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (999980000087) and next prime (999980000113).

It can be written as a sum of positive squares in 4 ways, for example, as 420907703076 + 579072297024 = 648774^2 + 760968^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3689962965 + ... + 3689963235.

Almost surely, 2999980000100 is an apocalyptic number.

999980000100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

999980000100 is the 999990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999980000100

999980000100 is an abundant number, since it is smaller than the sum of its proper divisors (2334855901143).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

999980000100 is a wasteful number, since it uses less digits than its factorization.

999980000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 999980000100 in words is "nine hundred ninety-nine billion, nine hundred eighty million, one hundred", and thus it is an aban number.