Search a number
-
+
1101000122020 = 225173238235653
BaseRepresentation
bin10000000001011000101…
…110001001111010100100
310220020212120222020020001
4100001120232021322210
5121014322012401040
62201443101351044
7142354544424121
oct20013056117244
93806776866201
101101000122020
11394a27958517
1215946a868484
137ca93058b56
143b408247748
151d98d6a859a
hex10058b89ea4

1101000122020 has 24 divisors (see below), whose sum is σ = 2448106154424. Its totient is φ = 414494163456.

The previous prime is 1101000121999. The next prime is 1101000122041. The reversal of 1101000122020 is 202210001011.

It is an interprime number because it is at equal distance from previous prime (1101000121999) and next prime (1101000122041).

It can be written as a sum of positive squares in 4 ways, for example, as 203740293376 + 897259828644 = 451376^2 + 947238^2 .

It is a super-3 number, since 3×11010001220203 (a number of 37 digits) contains 333 as substring.

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 = 1101000121988 and 1101000122006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1619117487 + ... + 1619118166.

It is an arithmetic number, because the mean of its divisors is an integer number (102004423101).

Almost surely, 21101000122020 is an apocalyptic number.

1101000122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101000122020 is an abundant number, since it is smaller than the sum of its proper divisors (1347106032404).

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

1101000122020 is a wasteful number, since it uses less digits than its factorization.

1101000122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238235679 (or 3238235677 counting only the distinct ones).

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

Adding to 1101000122020 its reverse (202210001011), we get a palindrome (1303210123031).

The spelling of 1101000122020 in words is "one trillion, one hundred one billion, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3238235653 6476471306 12952942612 16191178265 32382356530 55050006101 64764713060 110100012202 220200024404 275250030505 550500061010 1101000122020