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220000130100 = 223252244444589
BaseRepresentation
bin1100110011100100000…
…1111001010000110100
3210000212012001120012200
43030321001321100310
512101030013130400
6245022222144500
721615544152132
oct3147101712064
9700765046180
10220000130100
1185335379a43
1236779722130
1317990a4109a
14a9103dc752
155ac9218b00
hex3339079434

220000130100 has 54 divisors (see below), whose sum is σ = 689578188390. Its totient is φ = 58666701120.

The previous prime is 220000130099. The next prime is 220000130101. The reversal of 220000130100 is 1031000022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220000130099) and next prime (220000130101).

It can be written as a sum of positive squares in 3 ways, for example, as 1526152356 + 218473977744 = 39066^2 + 467412^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122221395 + ... + 122223194.

Almost surely, 2220000130100 is an apocalyptic number.

220000130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000130100 is an abundant number, since it is smaller than the sum of its proper divisors (469578058290).

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

220000130100 is a wasteful number, since it uses less digits than its factorization.

220000130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244444609 (or 244444599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 220000130100 its reverse (1031000022), we get a palindrome (221031130122).

The spelling of 220000130100 in words is "two hundred twenty billion, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 244444589 488889178 733333767 977778356 1222222945 1466667534 2200001301 2444445890 2933335068 3666668835 4400002602 4888891780 6111114725 7333337670 8800005204 11000006505 12222229450 14666675340 18333344175 22000013010 24444458900 36666688350 44000026020 55000032525 73333376700 110000065050 220000130100