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1103330020 = 2251321971657
BaseRepresentation
bin100000111000011…
…0111101011100100
32211220002222020211
41001300313223210
54224423030040
6301252105204
736225102412
oct10160675344
92756088224
101103330020
1151688a1a1
12269605204
13147778600
14a67682b2
1566ce28ea
hex41c37ae4

1103330020 has 72 divisors (see below), whose sum is σ = 2523190824. Its totient is φ = 405070848.

The previous prime is 1103330017. The next prime is 1103330023. The reversal of 1103330020 is 200333011.

It is an interprime number because it is at equal distance from previous prime (1103330017) and next prime (1103330023).

It can be written as a sum of positive squares in 12 ways, for example, as 378535936 + 724794084 = 19456^2 + 26922^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1103330023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665032 + ... + 666688.

It is an arithmetic number, because the mean of its divisors is an integer number (35044317).

Almost surely, 21103330020 is an apocalyptic number.

1103330020 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 1103330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261595412).

1103330020 is an abundant number, since it is smaller than the sum of its proper divisors (1419860804).

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

1103330020 is a wasteful number, since it uses less digits than its factorization.

1103330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1103330020 is about 33216.4119073689. The cubic root of 1103330020 is about 1033.3207368103.

Adding to 1103330020 its reverse (200333011), we get a palindrome (1303663031).

The spelling of 1103330020 in words is "one billion, one hundred three million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 197 260 338 394 676 788 845 985 1657 1690 1970 2561 3314 3380 3940 5122 6628 8285 10244 12805 16570 21541 25610 33140 33293 43082 51220 66586 86164 107705 133172 166465 215410 280033 326429 332930 430820 560066 652858 665860 1120132 1305716 1400165 1632145 2800330 3264290 4243577 5600660 6528580 8487154 16974308 21217885 42435770 55166501 84871540 110333002 220666004 275832505 551665010 1103330020