Search a number
-
+
3101000540 = 2251144931393
BaseRepresentation
bin1011100011010101…
…1000001101011100
322000010002011000212
42320311120031130
522322324004130
61231413111552
7136563032621
oct27065301534
98003064025
103101000540
111351485670
127266285b8
133a55b8581
14215bb8348
15132394e95
hexb8d5835c

3101000540 has 48 divisors (see below), whose sum is σ = 7120159200. Its totient is φ = 1125089280.

The previous prime is 3101000489. The next prime is 3101000569. The reversal of 3101000540 is 450001013.

3101000540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 83084 + ... + 114476.

It is an arithmetic number, because the mean of its divisors is an integer number (148336650).

Almost surely, 23101000540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560079600).

3101000540 is an abundant number, since it is smaller than the sum of its proper divisors (4019158660).

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

3101000540 is a wasteful number, since it uses less digits than its factorization.

3101000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31862 (or 31860 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3101000540 is about 55686.6280178644. The cubic root of 3101000540 is about 1458.2565885346.

Adding to 3101000540 its reverse (450001013), we get a palindrome (3551001553).

The spelling of 3101000540 in words is "three billion, one hundred one million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 449 898 1796 2245 4490 4939 8980 9878 19756 24695 31393 49390 62786 98780 125572 156965 313930 345323 627860 690646 1381292 1726615 3453230 6906460 14095457 28190914 56381828 70477285 140954570 155050027 281909140 310100054 620200108 775250135 1550500270 3101000540