Search a number
-
+
20022101000120 = 2351923671672613
BaseRepresentation
bin1001000110101110000100…
…01101111011111110111000
32121220002112122101122020202
410203113002031323332320
510111020230324000440
6110330005355141332
74134356220306362
oct443270215737670
977802478348222
1020022101000120
11641a36404859a
1222b4501144848
13b230cb0397bb
144d31095add32
1524ac4a2b5615
hex1235c237bfb8

20022101000120 has 384 divisors, whose sum is σ = 50606029324800. Its totient is φ = 7094717144064.

The previous prime is 20022101000107. The next prime is 20022101000129. The reversal of 20022101000120 is 2100010122002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022101000129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32662480934 + ... + 32662481546.

It is an arithmetic number, because the mean of its divisors is an integer number (131786534700).

Almost surely, 220022101000120 is an apocalyptic number.

20022101000120 is a gapful number since it is divisible by the number (20) 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 20022101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303014662400).

20022101000120 is an abundant number, since it is smaller than the sum of its proper divisors (30583928324680).

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

20022101000120 is a wasteful number, since it uses less digits than its factorization.

20022101000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20022101000120 its reverse (2100010122002), we get a palindrome (22122111122122).

The spelling of 20022101000120 in words is "twenty trillion, twenty-two billion, one hundred one million, one hundred twenty", and thus it is an aban number.