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3101134300 = 225211101103271
BaseRepresentation
bin1011100011010111…
…1000110111011100
322000010022221111221
42320311320313130
522322342244200
61231420023124
7136564130605
oct27065706734
98003287457
103101134300
111351567110
12726691aa4
133a5634414
14215c10dac
151323be91a
hexb8d78ddc

3101134300 has 144 divisors (see below), whose sum is σ = 7513519104. Its totient is φ = 1101600000.

The previous prime is 3101134297. The next prime is 3101134313. The reversal of 3101134300 is 34311013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11443165 + ... + 11443435.

It is an arithmetic number, because the mean of its divisors is an integer number (52177216).

Almost surely, 23101134300 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 3101134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756759552).

3101134300 is an abundant number, since it is smaller than the sum of its proper divisors (4412384804).

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

3101134300 is a wasteful number, since it uses less digits than its factorization.

3101134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3101134300 is about 55687.8290113738. The cubic root of 3101134300 is about 1458.2775552725.

Adding to 3101134300 its reverse (34311013), we get a palindrome (3135445313).

It can be divided in two parts, 310113 and 4300, that added together give a palindrome (314413).

The spelling of 3101134300 in words is "three billion, one hundred one million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 103 110 202 206 220 271 275 404 412 505 515 542 550 1010 1030 1084 1100 1111 1133 1355 2020 2060 2222 2266 2525 2575 2710 2981 4444 4532 5050 5150 5420 5555 5665 5962 6775 10100 10300 10403 11110 11330 11924 13550 14905 20806 22220 22660 27100 27371 27775 27913 28325 29810 41612 52015 54742 55550 55826 56650 59620 74525 104030 109484 111100 111652 113300 114433 136855 139565 149050 208060 228866 260075 273710 279130 298100 301081 307043 457732 520150 547420 558260 572165 602162 614086 684275 697825 1040300 1144330 1204324 1228172 1368550 1395650 1505405 1535215 2288660 2737100 2791300 2819213 2860825 3010810 3070430 5638426 5721650 6021620 6140860 7527025 7676075 11276852 11443300 14096065 15054050 15352150 28192130 30108100 30704300 31011343 56384260 62022686 70480325 124045372 140960650 155056715 281921300 310113430 620226860 775283575 1550567150 3101134300