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101220211220 = 22531715965333
BaseRepresentation
bin101111001000100110…
…0011101101000010100
3100200021012200111100212
41132101030131220110
53124244333224340
6114255552224552
710212221412422
oct1362114355024
9320235614325
10101220211220
1139a22196927
121774a53b158
13971155c50b
144c83132112
152976418a65
hex179131da14

101220211220 has 24 divisors (see below), whose sum is σ = 213233000904. Its totient is φ = 40360359296.

The previous prime is 101220211121. The next prime is 101220211223. The reversal of 101220211220 is 22112022101.

It can be written as a sum of positive squares in 4 ways, for example, as 6515072656 + 94705138564 = 80716^2 + 307742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101220211195 and 101220211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220211223) 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 7 ways as a sum of consecutive naturals, for example, 7976327 + ... + 7989006.

It is an arithmetic number, because the mean of its divisors is an integer number (8884708371).

Almost surely, 2101220211220 is an apocalyptic number.

101220211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220211220 is an abundant number, since it is smaller than the sum of its proper divisors (112012789684).

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

101220211220 is a wasteful number, since it uses less digits than its factorization.

101220211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15965659 (or 15965657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220211220 its reverse (22112022101), we get a palindrome (123332233321).

The spelling of 101220211220 in words is "one hundred one billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 15965333 31930666 63861332 79826665 159653330 319306660 5061010561 10122021122 20244042244 25305052805 50610105610 101220211220