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101011020022220 = 225711614632322401
BaseRepresentation
bin10110111101111001110101…
…111101111000000111001100
3111020122120002122212002022212
4112331321311331320013030
5101214431032111202340
6554455453314325552
730163543145425040
oct2675716575700714
9436576078762285
10101011020022220
112a2045954a5950
12b3b47422898b8
1344493b5529699
141ad2d60a5c020
15ba27dd72ca65
hex5bde75f781cc

101011020022220 has 192 divisors, whose sum is σ = 269381390487552. Its totient is φ = 30900925440000.

The previous prime is 101011020022219. The next prime is 101011020022229. The reversal of 101011020022220 is 22220020110101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101011020022195 and 101011020022204.

It is not an unprimeable number, because it can be changed into a prime (101011020022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42333020 + ... + 44655420.

It is an arithmetic number, because the mean of its divisors is an integer number (1403028075456).

Almost surely, 2101011020022220 is an apocalyptic number.

101011020022220 is a gapful number since it is divisible by the number (10) 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 101011020022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134690695243776).

101011020022220 is an abundant number, since it is smaller than the sum of its proper divisors (168370370465332).

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

101011020022220 is a wasteful number, since it uses less digits than its factorization.

101011020022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322952 (or 2322950 counting only the distinct ones).

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

Adding to 101011020022220 its reverse (22220020110101), we get a palindrome (123231040132321).

The spelling of 101011020022220 in words is "one hundred one trillion, eleven billion, twenty million, twenty-two thousand, two hundred twenty".