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3100130020 = 2251340929153
BaseRepresentation
bin1011100011001000…
…0011101011100100
322000001102220220101
42320302003223210
522322113130040
61231342313444
7136552445641
oct27062035344
98001386811
103100130020
111350a40629
12726288884
133a5372280
14215a2cdc8
1513227209a
hexb8c83ae4

3100130020 has 48 divisors (see below), whose sum is σ = 7028446320. Its totient is φ = 1141825536.

The previous prime is 3100130017. The next prime is 3100130029. The reversal of 3100130020 is 200310013.

It can be written as a sum of positive squares in 8 ways, for example, as 370485504 + 2729644516 = 19248^2 + 52246^2 .

It is a super-4 number, since 4×31001300204 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 = 3100129979 and 3100130006.

It is not an unprimeable number, because it can be changed into a prime (3100130029) 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, 91764 + ... + 120916.

It is an arithmetic number, because the mean of its divisors is an integer number (146425965).

Almost surely, 23100130020 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 3100130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514223160).

3100130020 is an abundant number, since it is smaller than the sum of its proper divisors (3928316300).

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

3100130020 is a wasteful number, since it uses less digits than its factorization.

3100130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29584 (or 29582 counting only the distinct ones).

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

The square root of 3100130020 is about 55678.8112301260. The cubic root of 3100130020 is about 1458.1201207167.

Adding to 3100130020 its reverse (200310013), we get a palindrome (3300440033).

The spelling of 3100130020 in words is "three billion, one hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 409 818 1636 2045 4090 5317 8180 10634 21268 26585 29153 53170 58306 106340 116612 145765 291530 378989 583060 757978 1515956 1894945 3789890 7579780 11923577 23847154 47694308 59617885 119235770 155006501 238471540 310013002 620026004 775032505 1550065010 3100130020