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101011220020 = 22543117454907
BaseRepresentation
bin101111000010010111…
…1001110011000110100
3100122201122102122100001
41132010233032120310
53123332333020040
6114223125001044
710204103126554
oct1360457163064
9318648378301
10101011220020
1139925222727
12176b0553184
1396aa177899
144c6348d164
152962dd559a
hex1784bce634

101011220020 has 24 divisors (see below), whose sum is σ = 217056669984. Its totient is φ = 39464848416.

The previous prime is 101011220017. The next prime is 101011220029. The reversal of 101011220020 is 20022110101.

101011220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101011219979 and 101011220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58726594 + ... + 58728313.

It is an arithmetic number, because the mean of its divisors is an integer number (9044027916).

Almost surely, 2101011220020 is an apocalyptic number.

101011220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011220020 is an abundant number, since it is smaller than the sum of its proper divisors (116045449964).

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

101011220020 is a wasteful number, since it uses less digits than its factorization.

101011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117454959 (or 117454957 counting only the distinct ones).

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

Adding to 101011220020 its reverse (20022110101), we get a palindrome (121033330121).

The spelling of 101011220020 in words is "one hundred one billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 117454907 234909814 469819628 587274535 1174549070 2349098140 5050561001 10101122002 20202244004 25252805005 50505610010 101011220020