Search a number
-
+
1100022211020 = 2235291016259373
BaseRepresentation
bin10000000000011110011…
…011101110000111001100
310220011100102212012112010
4100000132123232013030
5121010321141223040
62201202045341220
7142321401342465
oct20003633560714
93804312765463
101100022211020
11394575951507
12159237267810
137c968583ba5
143b354409d6c
151d9328dbe80
hex1001e6ee1cc

1100022211020 has 96 divisors (see below), whose sum is σ = 3217818985920. Its totient is φ = 280419865600.

The previous prime is 1100022210983. The next prime is 1100022211037. The reversal of 1100022211020 is 201122200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100022210987 and 1100022211005.

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, 2953947 + ... + 3305426.

It is an arithmetic number, because the mean of its divisors is an integer number (33518947770).

Almost surely, 21100022211020 is an apocalyptic number.

1100022211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100022211020 is an abundant number, since it is smaller than the sum of its proper divisors (2117796774900).

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

1100022211020 is a wasteful number, since it uses less digits than its factorization.

1100022211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259515 (or 6259513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100022211020 its reverse (201122200011), we get a palindrome (1301144411031).

The spelling of 1100022211020 in words is "one trillion, one hundred billion, twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 101 116 145 174 202 290 303 348 404 435 505 580 606 870 1010 1212 1515 1740 2020 2929 3030 5858 6060 8787 11716 14645 17574 29290 35148 43935 58580 87870 175740 6259373 12518746 18778119 25037492 31296865 37556238 62593730 75112476 93890595 125187460 181521817 187781190 363043634 375562380 544565451 632196673 726087268 907609085 1089130902 1264393346 1815218170 1896590019 2178261804 2528786692 2722827255 3160983365 3630436340 3793180038 5445654510 6321966730 7586360076 9482950095 10891309020 12643933460 18333703517 18965900190 36667407034 37931800380 55001110551 73334814068 91668517585 110002221102 183337035170 220004442204 275005552755 366674070340 550011105510 1100022211020