Search a number
-
+
202022221100121 = 32173753673333337
BaseRepresentation
bin101101111011110011110110…
…101110011011010001011001
3222111022010122221101202100200
4231323303312232123101121
5202434413002100200441
61553355421021452413
760360423653126202
oct5573636656332131
9874263587352320
10202022221100121
1159409163114594
121a7a9315111109
1388957c94095b6
1437c5cdb76a5a9
1518550dccc17b6
hexb7bcf6b9b459

202022221100121 has 48 divisors (see below), whose sum is σ = 323313122240784. Its totient is φ = 121006080479232.

The previous prime is 202022221100113. The next prime is 202022221100179. The reversal of 202022221100121 is 121001122220202.

It is a happy number.

202022221100121 is a `hidden beast` number, since 20 + 202 + 2 + 221 + 100 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50881629194496 + 151140591905625 = 7133136^2 + 12293925^2 .

It is not a de Polignac number, because 202022221100121 - 23 = 202022221100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202022221100094 and 202022221100103.

It is not an unprimeable number, because it can be changed into a prime (202022221100111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336366636 + ... + 336966701.

It is an arithmetic number, because the mean of its divisors is an integer number (6735690046683).

Almost surely, 2202022221100121 is an apocalyptic number.

It is an amenable number.

202022221100121 is a deficient number, since it is larger than the sum of its proper divisors (121290901140663).

202022221100121 is a wasteful number, since it uses less digits than its factorization.

202022221100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673333450 (or 673333447 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202022221100121 its reverse (121001122220202), we get a palindrome (323023343320323).

The spelling of 202022221100121 in words is "two hundred two trillion, twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 17 37 51 53 111 153 159 333 477 629 901 1887 1961 2703 5661 5883 8109 17649 33337 100011 300033 673333337 2020000011 6060000033 11446666729 24913333469 34340000187 35686666861 74740000407 103020000561 107060000583 224220001221 321180001749 423526668973 606673336637 1270580006919 1320406673857 1820020009911 3811740020757 3961220021571 5460060029733 11883660064713 22446913455569 67340740366707 202022221100121