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3100331040 = 253550312841
BaseRepresentation
bin1011100011001011…
…0100110000100000
322000001211010122120
42320302310300200
522322141043130
61231350504240
7136554244002
oct27062646040
98001733576
103100331040
111351068664
12726365080
133a5412911
14215a82372
151322b1910
hexb8cb4c20

3100331040 has 96 divisors (see below), whose sum is σ = 9786220416. Its totient is φ = 825047040.

The previous prime is 3100331033. The next prime is 3100331041. The reversal of 3100331040 is 401330013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31003310402 = 19224105115174963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3100331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235020 + ... + 247860.

It is an arithmetic number, because the mean of its divisors is an integer number (101939796).

Almost surely, 23100331040 is an apocalyptic number.

3100331040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893110208).

3100331040 is an abundant number, since it is smaller than the sum of its proper divisors (6685889376).

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

3100331040 is a wasteful number, since it uses less digits than its factorization.

3100331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3100331040 is about 55680.6163758987. The cubic root of 3100331040 is about 1458.1516360585.

Adding to 3100331040 its reverse (401330013), we get a palindrome (3501661053).

The spelling of 3100331040 in words is "three billion, one hundred million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 12841 15090 16096 20120 24144 25682 30180 38523 40240 48288 51364 60360 64205 77046 80480 102728 120720 128410 154092 192615 205456 241440 256820 308184 385230 410912 513640 616368 770460 1027280 1232736 1540920 2054560 3081840 6163680 6459023 12918046 19377069 25836092 32295115 38754138 51672184 64590230 77508276 96885345 103344368 129180460 155016552 193770690 206688736 258360920 310033104 387541380 516721840 620066208 775082760 1033443680 1550165520 3100331040