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120220022021 = 1121619361357
BaseRepresentation
bin110111111110110101…
…0111111010100000101
3102111022100011212222012
41233331222333110011
53432202311201041
6131121152144005
711454110220011
oct1577552772405
9374270155865
10120220022021
1146a92082a00
121b371538005
13b44b961b08
145b6665b541
1531d94673eb
hex1bfdabf505

120220022021 has 12 divisors (see below), whose sum is σ = 132152983116. Its totient is φ = 109282398720.

The previous prime is 120220022011. The next prime is 120220022057.

120220022021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 116356032100 + 3863989921 = 341110^2 + 62161^2 .

It is a de Polignac number, because none of the positive numbers 2k-120220022021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120220021987 and 120220022005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220022011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1928675 + ... + 1990031.

It is an arithmetic number, because the mean of its divisors is an integer number (11012748593).

Almost surely, 2120220022021 is an apocalyptic number.

120220022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120220022021 is a deficient number, since it is larger than the sum of its proper divisors (11932961095).

120220022021 is a wasteful number, since it uses less digits than its factorization.

120220022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77572 (or 77561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 1202200 and 22021, that added together give a palindrome (1224221).

The spelling of 120220022021 in words is "one hundred twenty billion, two hundred twenty million, twenty-two thousand, twenty-one".

Divisors: 1 11 121 16193 61357 178123 674927 1959353 7424197 993553901 10929092911 120220022021