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2100220010000 = 2454730003143
BaseRepresentation
bin11110100011111110110…
…111100001111000010000
321102210000221110212012022
4132203332313201320100
5233402222310310000
64244454443351012
7304510260351110
oct36437667417020
97383027425168
102100220010000
1173a775496732
1229b053522468
13123085815c38
1473918c21040
15399716c5585
hex1e8fede1e10

2100220010000 has 100 divisors (see below), whose sum is σ = 5811248955072. Its totient is φ = 720075408000.

The previous prime is 2100220009913. The next prime is 2100220010059. The reversal of 2100220010000 is 100220012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2100220010000.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 14931572 + ... + 15071571.

Almost surely, 22100220010000 is an apocalyptic number.

2100220010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100220010000 is an abundant number, since it is smaller than the sum of its proper divisors (3711028945072).

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

2100220010000 is an equidigital number, since it uses as much as digits as its factorization.

2100220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30003178 (or 30003157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2100220010000 its reverse (100220012), we get a palindrome (2100320230012).

The spelling of 2100220010000 in words is "two trillion, one hundred billion, two hundred twenty million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 30003143 60006286 120012572 150015715 210022001 240025144 300031430 420044002 480050288 600062860 750078575 840088004 1050110005 1200125720 1500157150 1680176008 2100220010 2400251440 3000314300 3360352016 3750392875 4200440020 5250550025 6000628600 7500785750 8400880040 10501100050 12001257200 15001571500 16801760080 18751964375 21002200100 26252750125 30003143000 37503928750 42004400200 52505500250 60006286000 75007857500 84008800400 105011000500 131263750625 150015715000 210022001000 262527501250 300031430000 420044002000 525055002500 1050110005000 2100220010000