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1110020222200 = 235219167343177
BaseRepresentation
bin10000001001110010010…
…111000110110011111000
310221010011012212210111111
4100021302113012303320
5121141310134102300
62205534121410104
7143124223132231
oct20116227066370
93833135783444
101110020222200
1139883652826a
1215b167639934
138089ca26036
143ba221b2088
151dd1a5059ba
hex102725c6cf8

1110020222200 has 96 divisors (see below), whose sum is σ = 2598224060160. Its totient is φ = 441016934400.

The previous prime is 1110020222197. The next prime is 1110020222209. The reversal of 1110020222200 is 22220200111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110020222209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25687012 + ... + 25730188.

It is an arithmetic number, because the mean of its divisors is an integer number (27064833960).

Almost surely, 21110020222200 is an apocalyptic number.

1110020222200 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 1110020222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299112030080).

1110020222200 is an abundant number, since it is smaller than the sum of its proper divisors (1488203837960).

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

1110020222200 is a wasteful number, since it uses less digits than its factorization.

1110020222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44057 (or 44048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1110020222200 its reverse (22220200111), we get a palindrome (1132240422311).

The spelling of 1110020222200 in words is "one trillion, one hundred ten billion, twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 673 764 955 1346 1528 1910 2692 3365 3820 4775 5384 6730 7640 9550 13460 16825 19100 26920 33650 38200 43177 67300 86354 128543 134600 172708 215885 257086 345416 431770 514172 642715 863540 1028344 1079425 1285430 1727080 2158850 2570860 3213575 4317700 5141720 6427150 8246807 8635400 12854300 16493614 25708600 29058121 32987228 41234035 58116242 65974456 82468070 116232484 145290605 164936140 206170175 232464968 290581210 329872280 412340350 581162420 726453025 824680700 1162324840 1452906050 1649361400 2905812100 5550101111 5811624200 11100202222 22200404444 27750505555 44400808888 55501011110 111002022220 138752527775 222004044440 277505055550 555010111100 1110020222200