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1101002022100 = 225218160828841
BaseRepresentation
bin10000000001011000110…
…101011001110011010100
310220020212201112202122101
4100001120311121303110
5121014323004201400
62201443210211444
7142354566526531
oct20013065316324
93806781482571
101101002022100
11394a28a36032
1215946b423b84
137ca93572966
143b4085bdd88
151d98d93156a
hex10058d59cd4

1101002022100 has 36 divisors (see below), whose sum is σ = 2402374285948. Its totient is φ = 437967648000.

The previous prime is 1101002022089. The next prime is 1101002022191. The reversal of 1101002022100 is 12202001011.

It can be written as a sum of positive squares in 6 ways, for example, as 251799225616 + 849202796484 = 501796^2 + 921522^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30396321 + ... + 30432520.

Almost surely, 21101002022100 is an apocalyptic number.

1101002022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101002022100 is an abundant number, since it is smaller than the sum of its proper divisors (1301372263848).

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

1101002022100 is a wasteful number, since it uses less digits than its factorization.

1101002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60829036 (or 60829029 counting only the distinct ones).

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

Adding to 1101002022100 its reverse (12202001011), we get a palindrome (1113204023111).

The spelling of 1101002022100 in words is "one trillion, one hundred one billion, two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 60828841 121657682 243315364 304144205 608288410 1216576820 1520721025 3041442050 6082884100 11010020221 22020040442 44040080884 55050101105 110100202210 220200404420 275250505525 550501011050 1101002022100