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1100023311120 = 243537123876499
BaseRepresentation
bin10000000000011110011…
…111111010101100010000
310220011100111221002120120
4100000132133322230100
5121010321431423440
62201202125110240
7142321413603666
oct20003637725420
93804314832516
101100023311120
11394576532a88
121592376b8380
137c96887a836
143b354614c36
151d932a57dd0
hex1001e7fab10

1100023311120 has 80 divisors (see below), whose sum is σ = 3502236408000. Its totient is φ = 285411451392.

The previous prime is 1100023311097. The next prime is 1100023311131. The reversal of 1100023311120 is 211133200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 1100023311120.

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, 61929370 + ... + 61947129.

It is an arithmetic number, because the mean of its divisors is an integer number (43777955100).

Almost surely, 21100023311120 is an apocalyptic number.

1100023311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100023311120 is an abundant number, since it is smaller than the sum of its proper divisors (2402213096880).

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

1100023311120 is a wasteful number, since it uses less digits than its factorization.

1100023311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123876552 (or 123876546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1100023311120 its reverse (211133200011), we get a palindrome (1311156511131).

The spelling of 1100023311120 in words is "one trillion, one hundred billion, twenty-three million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 123876499 247752998 371629497 495505996 619382495 743258994 991011992 1238764990 1486517988 1858147485 1982023984 2477529980 2973035976 3716294970 4583430463 4955059960 5946071952 7432589940 9166860926 9910119920 13750291389 14865179880 18333721852 22917152315 27500582778 29730359760 36667443704 45834304630 55001165556 68751456945 73334887408 91668609260 110002331112 137502913890 183337218520 220004662224 275005827780 366674437040 550011655560 1100023311120