Search a number
-
+
1100010020 = 225296728307
BaseRepresentation
bin100000110010000…
…1101001000100100
32211122212022001212
41001210031020210
54223100310040
6301053010552
736154634204
oct10144151044
92748768055
101100010020
11514a2189a
12268483a58
13146b85405
14a6142404
1566888d65
hex4190d224

1100010020 has 48 divisors (see below), whose sum is σ = 2425429440. Its totient is φ = 418475904.

The previous prime is 1100010019. The next prime is 1100010031. The reversal of 1100010020 is 200100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1100009986 and 1100010013.

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, 24707 + ... + 53013.

It is an arithmetic number, because the mean of its divisors is an integer number (50529780).

Almost surely, 21100010020 is an apocalyptic number.

1100010020 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 1100010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212714720).

1100010020 is an abundant number, since it is smaller than the sum of its proper divisors (1325419420).

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

1100010020 is a wasteful number, since it uses less digits than its factorization.

1100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28412 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1100010020 is about 33166.3989603936. The cubic root of 1100010020 is about 1032.2832498247.

Adding to 1100010020 its reverse (200100011), we get a palindrome (1300110031).

The spelling of 1100010020 in words is "one billion, one hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 7772 9715 19430 28307 38860 56614 113228 141535 283070 566140 820903 1641806 1896569 3283612 3793138 4104515 7586276 8209030 9482845 16418060 18965690 37931380 55000501 110001002 220002004 275002505 550005010 1100010020