Search a number
-
+
1100021330220 = 2235103679326203
BaseRepresentation
bin10000000000011110011…
…000010111000100101100
310220011100101012110021220
4100000132120113010230
5121010320430031340
62201202014423340
7142321361013531
oct20003630270454
93804311173256
101100021330220
113945753aa77a
12159236b01b50
137c968335cc7
143b35425ad88
151d9327b5ed0
hex1001e61712c

1100021330220 has 96 divisors (see below), whose sum is σ = 3110539740672. Its totient is φ = 290437221888.

The previous prime is 1100021330189. The next prime is 1100021330281. The reversal of 1100021330220 is 220331200011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100021330220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41967639 + ... + 41993841.

It is an arithmetic number, because the mean of its divisors is an integer number (32401455632).

Almost surely, 21100021330220 is an apocalyptic number.

1100021330220 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 1100021330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555269870336).

1100021330220 is an abundant number, since it is smaller than the sum of its proper divisors (2010518410452).

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

1100021330220 is a wasteful number, since it uses less digits than its factorization.

1100021330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33111 (or 33109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1100021330220 its reverse (220331200011), we get a palindrome (1320352530231).

The spelling of 1100021330220 in words is "one trillion, one hundred billion, twenty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 6793 13586 20379 26203 27172 33965 40758 52406 67930 78609 81516 101895 104812 131015 135860 157218 203790 262030 314436 393045 407580 524060 699679 786090 1399358 1572180 2099037 2698909 2798716 3498395 4198074 5397818 6996790 8096727 8396148 10495185 10795636 13494545 13993580 16193454 20990370 26989090 32386908 40483635 41980740 53978180 80967270 161934540 177996979 355993958 533990937 711987916 889984895 1067981874 1779969790 2135963748 2669954685 3559939580 5339909370 10679818740 18333688837 36667377674 55001066511 73334755348 91668444185 110002133022 183336888370 220004266044 275005332555 366673776740 550010665110 1100021330220