Search a number
-
+
1101322440020 = 225117963367229
BaseRepresentation
bin10000000001101011111…
…011101100110101010100
310220021201001110200101202
4100001223323230311110
5121021002021040040
62201535054012032
7142365540165545
oct20015373546524
93807631420352
101101322440020
11395082895830
1215953a7a7018
137cb14a6c16a
143b438d8a4cc
151d9abb25015
hex1006beecd54

1101322440020 has 48 divisors (see below), whose sum is σ = 2554966713600. Its totient is φ = 395411502720.

The previous prime is 1101322440019. The next prime is 1101322440041. The reversal of 1101322440020 is 200442231011.

It is a super-2 number, since 2×11013224400202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1101322439974 and 1101322440001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31666235 + ... + 31700994.

It is an arithmetic number, because the mean of its divisors is an integer number (53228473200).

Almost surely, 21101322440020 is an apocalyptic number.

1101322440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101322440020 is an abundant number, since it is smaller than the sum of its proper divisors (1453644273580).

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

1101322440020 is a wasteful number, since it uses less digits than its factorization.

1101322440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63367328 (or 63367326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1101322440020 its reverse (200442231011), we get a palindrome (1301764671031).

The spelling of 1101322440020 in words is "one trillion, one hundred one billion, three hundred twenty-two million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 63367229 126734458 253468916 316836145 633672290 697039519 1267344580 1394079038 2788158076 3485197595 5006011091 6970395190 10012022182 13940790380 20024044364 25030055455 50060110910 55066122001 100120221820 110132244002 220264488004 275330610005 550661220010 1101322440020