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200210100000 = 25355667367
BaseRepresentation
bin1011101001110101110…
…0111010111100100000
3201010202222121212111220
42322131130322330200
511240012241200000
6231550353135040
720315251525311
oct2723534727440
9633688555456
10200210100000
11779aa422469
1232975b5a480
1315b58a016c1
149993d72608
15531bb261a0
hex2e9d73af20

200210100000 has 144 divisors (see below), whose sum is σ = 656898330816. Its totient is φ = 53389280000.

The previous prime is 200210099993. The next prime is 200210100017. The reversal of 200210100000 is 1012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33684 + ... + 633683.

It is an arithmetic number, because the mean of its divisors is an integer number (4561793964).

Almost surely, 2200210100000 is an apocalyptic number.

200210100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328449165408).

200210100000 is an abundant number, since it is smaller than the sum of its proper divisors (456688230816).

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

200210100000 is an frugal number, since it uses more digits than its factorization.

200210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667405 (or 667377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200210100000 its reverse (1012002), we get a palindrome (200211112002).

The spelling of 200210100000 in words is "two hundred billion, two hundred ten million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 667367 1334734 2002101 2669468 3336835 4004202 5338936 6673670 8008404 10010505 10677872 13347340 16016808 16684175 20021010 21355744 26694680 32033616 33368350 40042020 50052525 53389360 64067232 66736700 80084040 83420875 100105050 106778720 133473400 160168080 166841750 200210100 250262625 266946800 320336160 333683500 400420200 417104375 500525250 533893600 667367000 800840400 834208750 1001050500 1251313125 1334734000 1601680800 1668417500 2002101000 2085521875 2502626250 2669468000 3336835000 4004202000 4171043750 5005252500 6256565625 6673670000 8008404000 8342087500 10010505000 12513131250 13347340000 16684175000 20021010000 25026262500 33368350000 40042020000 50052525000 66736700000 100105050000 200210100000