Search a number
-
+
22000001102020 = 2251227418961961
BaseRepresentation
bin1010000000010010001100…
…10000000011000011000100
32212220011211220101100022101
411000021012100003003010
510340422000240231040
6114442354434441444
74430306351626564
oct500110620030304
985804756340271
1022000001102020
11701216a0a0887
1225738b7a33284
13c3778bb42896
14560b3cd16da4
1528240ced009a
hex1402464030c4

22000001102020 has 24 divisors (see below), whose sum is σ = 46200383871768. Its totient is φ = 8799927763200.

The previous prime is 22000001101999. The next prime is 22000001102029. The reversal of 22000001102020 is 2020110000022.

It can be written as a sum of positive squares in 4 ways, for example, as 4762092857284 + 17237908244736 = 2182222^2 + 4151856^2 .

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 = 22000001101988 and 22000001102006.

It is not an unprimeable number, because it can be changed into a prime (22000001102029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2026161 + ... + 6935800.

It is an arithmetic number, because the mean of its divisors is an integer number (1925015994657).

Almost surely, 222000001102020 is an apocalyptic number.

22000001102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000001102020 is an abundant number, since it is smaller than the sum of its proper divisors (24200382769748).

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

22000001102020 is a wasteful number, since it uses less digits than its factorization.

22000001102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084711 (or 9084709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22000001102020 its reverse (2020110000022), we get a palindrome (24020111102042).

The spelling of 22000001102020 in words is "twenty-two trillion, one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 122741 245482 490964 613705 1227410 2454820 8961961 17923922 35847844 44809805 89619610 179239220 1100000055101 2200000110202 4400000220404 5500000275505 11000000551010 22000001102020