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20313220100 = 22521711948953
BaseRepresentation
bin10010111010110000…
…110010010000000100
31221102122220111110012
4102322300302100010
5313100141020400
613155354445352
71316244344015
oct227260622004
957378814405
1020313220100
118684312a08
123b2aa33858
131bb9553b84
14da9b3b00c
157dd4dbd35
hex4bac32404

20313220100 has 36 divisors (see below), whose sum is σ = 46672614324. Its totient is φ = 7647329280.

The previous prime is 20313220099. The next prime is 20313220121. The reversal of 20313220100 is 102231302.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 289272064 + 20023948036 = 17008^2 + 141506^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5972777 + ... + 5976176.

It is an arithmetic number, because the mean of its divisors is an integer number (1296461509).

Almost surely, 220313220100 is an apocalyptic number.

20313220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313220100 is an abundant number, since it is smaller than the sum of its proper divisors (26359394224).

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

20313220100 is a wasteful number, since it uses less digits than its factorization.

20313220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948984 (or 11948977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20313220100 its reverse (102231302), we get a palindrome (20415451402).

The spelling of 20313220100 in words is "twenty billion, three hundred thirteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11948953 23897906 47795812 59744765 119489530 203132201 238979060 298723825 406264402 597447650 812528804 1015661005 1194895300 2031322010 4062644020 5078305025 10156610050 20313220100