Search a number
-
+
1101300220000 = 2554521105691
BaseRepresentation
bin10000000001101010100…
…110111100000001100000
310220021122111122210021001
4100001222212330001200
5121020430324020000
62201532541441344
7142365150262261
oct20015246740140
93807574583231
101101300220000
11395071299582
12159533270254
137cb1028c416
143b436044968
151d9a9bd646a
hex1006a9bc060

1101300220000 has 120 divisors (see below), whose sum is σ = 2714589734472. Its totient is φ = 439670400000.

The previous prime is 1101300219979. The next prime is 1101300220001. The reversal of 1101300220000 is 220031011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101300220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10367155 + ... + 10472845.

Almost surely, 21101300220000 is an apocalyptic number.

1101300220000 is a gapful number since it is divisible by the number (10) 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 1101300220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357294867236).

1101300220000 is an abundant number, since it is smaller than the sum of its proper divisors (1613289514472).

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

1101300220000 is an equidigital number, since it uses as much as digits as its factorization.

1101300220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106242 (or 106219 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1101300220000 its reverse (220031011), we get a palindrome (1101520251011).

The spelling of 1101300220000 in words is "one trillion, one hundred one billion, three hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 521 625 800 1000 1042 1250 2000 2084 2500 2605 4000 4168 5000 5210 8336 10000 10420 13025 16672 20000 20840 26050 41680 52100 65125 83360 104200 105691 130250 208400 211382 260500 325625 416800 422764 521000 528455 651250 845528 1042000 1056910 1302500 1691056 2084000 2113820 2605000 2642275 3382112 4227640 5210000 5284550 8455280 10420000 10569100 13211375 16910560 21138200 26422750 42276400 52845500 55065011 66056875 84552800 105691000 110130022 132113750 211382000 220260044 264227500 275325055 422764000 440520088 528455000 550650110 881040176 1056910000 1101300220 1376625275 1762080352 2113820000 2202600440 2753250550 4405200880 5506501100 6883126375 8810401760 11013002200 13766252750 22026004400 27532505500 34415631875 44052008800 55065011000 68831263750 110130022000 137662527500 220260044000 275325055000 550650110000 1101300220000