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1000200111220 = 2251723312625601
BaseRepresentation
bin11101000111000001001…
…00101000010001110100
310112121200122222010110201
432203200210220101310
5112341402212024340
62043252515330244
7132155614445452
oct16434044502164
93477618863421
101000200111220
11356200984472
12141a18bb0984
137341a89164b
14365a4c579d2
151b03e0e379a
hexe8e0928474

1000200111220 has 48 divisors (see below), whose sum is σ = 2233519496208. Its totient is φ = 374929817600.

The previous prime is 1000200111217. The next prime is 1000200111221. The reversal of 1000200111220 is 221110020001.

It can be written as a sum of positive squares in 8 ways, for example, as 32805903376 + 967394207844 = 181124^2 + 983562^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000200111197 and 1000200111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6233581 + ... + 6392020.

It is an arithmetic number, because the mean of its divisors is an integer number (46531656171).

Almost surely, 21000200111220 is an apocalyptic number.

1000200111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000200111220 is an abundant number, since it is smaller than the sum of its proper divisors (1233319384988).

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

1000200111220 is a wasteful number, since it uses less digits than its factorization.

1000200111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625860 (or 12625858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000200111220 its reverse (221110020001), we get a palindrome (1221310131221).

The spelling of 1000200111220 in words is "one trillion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 2330 3961 4660 7922 15844 19805 39610 79220 12625601 25251202 50502404 63128005 126256010 214635217 252512020 429270434 858540868 1073176085 2146352170 2941765033 4292704340 5883530066 11767060132 14708825165 29417650330 50010005561 58835300660 100020011122 200040022244 250050027805 500100055610 1000200111220