Search a number
-
+
3100001320 = 2351311352757
BaseRepresentation
bin1011100011000110…
…0100010000101000
322000001012101100201
42320301210100220
522322100020240
61231335441544
7136551401503
oct27061442050
98001171321
103100001320
111350962969
127262262b4
133a5328810
142159d813a
15132248d9a
hexb8c64428

3100001320 has 64 divisors (see below), whose sum is σ = 7578159120. Its totient is φ = 1134465024.

The previous prime is 3100001309. The next prime is 3100001327. The reversal of 3100001320 is 231000013.

It can be written as a sum of positive squares in 8 ways, for example, as 484088004 + 2615913316 = 22002^2 + 51146^2 .

It is a super-2 number, since 2×31000013202 = 19220016368003484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3100001297 and 3100001306.

It is not an unprimeable number, because it can be changed into a prime (3100001327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32382 + ... + 85138.

Almost surely, 23100001320 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 3100001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789079560).

3100001320 is an abundant number, since it is smaller than the sum of its proper divisors (4478157800).

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

3100001320 is a wasteful number, since it uses less digits than its factorization.

3100001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52894 (or 52890 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3100001320 is about 55677.6554822489. The cubic root of 3100001320 is about 1458.0999427828.

Adding to 3100001320 its reverse (231000013), we get a palindrome (3331001333).

The spelling of 3100001320 in words is "three billion, one hundred million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 904 1130 1469 2260 2938 4520 5876 7345 11752 14690 29380 52757 58760 105514 211028 263785 422056 527570 685841 1055140 1371682 2110280 2743364 3429205 5486728 5961541 6858410 11923082 13716820 23846164 27433640 29807705 47692328 59615410 77500033 119230820 155000066 238461640 310000132 387500165 620000264 775000330 1550000660 3100001320