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3100130000 = 24541128183
BaseRepresentation
bin1011100011001000…
…0011101011010000
322000001102220212122
42320302003223100
522322113130000
61231342313412
7136552445612
oct27062035320
98001386778
103100130000
111350a40610
12726288868
133a5372266
14215a2cdb2
15132272085
hexb8c83ad0

3100130000 has 100 divisors (see below), whose sum is σ = 8188353888. Its totient is φ = 1127280000.

The previous prime is 3100129997. The next prime is 3100130017. The reversal of 3100130000 is 310013.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×31001300002 = 19221612033800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3100130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95909 + ... + 124091.

Almost surely, 23100130000 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 3100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094176944).

3100130000 is an abundant number, since it is smaller than the sum of its proper divisors (5088223888).

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

3100130000 is a wasteful number, since it uses less digits than its factorization.

3100130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28222 (or 28201 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3100130000 is about 55678.8110505244. The cubic root of 3100130000 is about 1458.1201175811.

Adding to 3100130000 its reverse (310013), we get a palindrome (3100440013).

Multiplying 3100130000 by its reverse (310013), we get a square (961080601690000 = 310013002).

3100130000 divided by its reverse (310013) gives a 4-th power (10000 = 104).

The spelling of 3100130000 in words is "three billion, one hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 28183 55000 56366 110000 112732 140915 225464 281830 310013 450928 563660 620026 704575 1127320 1240052 1409150 1550065 2254640 2480104 2818300 3100130 3522875 4960208 5636600 6200260 7045750 7750325 11273200 12400520 14091500 15500650 17614375 24801040 28183000 31001300 35228750 38751625 56366000 62002600 70457500 77503250 124005200 140915000 155006500 193758125 281830000 310013000 387516250 620026000 775032500 1550065000 3100130000