Search a number
-
+
1120101322000 = 2453560050661
BaseRepresentation
bin10000010011001011001…
…111011100110100010000
310222002011210020201122011
4100103023033130310100
5121322431414301000
62214322322352304
7143632104100603
oct20231317346420
93862153221564
101120101322000
113a2039aa4801
121610bb7bb694
138181846a34b
143c2db00633a
151e20a5832ba
hex104cb3dcd10

1120101322000 has 40 divisors (see below), whose sum is σ = 2708405001432. Its totient is φ = 448040528000.

The previous prime is 1120101321967. The next prime is 1120101322009. The reversal of 1120101322000 is 2231010211.

It can be written as a sum of positive squares in 4 ways, for example, as 303239651584 + 816861670416 = 550672^2 + 903804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11201013220002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1120101322009) 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, 280023331 + ... + 280027330.

Almost surely, 21120101322000 is an apocalyptic number.

1120101322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120101322000 is an abundant number, since it is smaller than the sum of its proper divisors (1588303679432).

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

1120101322000 is an equidigital number, since it uses as much as digits as its factorization.

1120101322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560050684 (or 560050668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1120101322000 its reverse (2231010211), we get a palindrome (1122332332211).

The spelling of 1120101322000 in words is "one trillion, one hundred twenty billion, one hundred one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 560050661 1120101322 2240202644 2800253305 4480405288 5600506610 8960810576 11201013220 14001266525 22402026440 28002533050 44804052880 56005066100 70006332625 112010132200 140012665250 224020264400 280025330500 560050661000 1120101322000