Search a number
-
+
3331111000 = 235374671019
BaseRepresentation
bin1100011010001100…
…1011100001011000
322121011001222020111
43012203023201120
523310231023000
61310313134104
7145355655610
oct30643134130
98534058214
103331111000
11145a363aa8
1278b6ba334
13411185bc9
14238597a40
1514769acba
hexc68cb858

3331111000 has 128 divisors (see below), whose sum is σ = 8936179200. Its totient is φ = 1138531200.

The previous prime is 3331110977. The next prime is 3331111009. The reversal of 3331111000 is 1111333.

It is a happy number.

It is a super-2 number, since 2×33311110002 = 22192600988642000000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3268491 + ... + 3269509.

It is an arithmetic number, because the mean of its divisors is an integer number (69813900).

Almost surely, 23331111000 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 3331111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

3331111000 is an abundant number, since it is smaller than the sum of its proper divisors (5605068200).

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

3331111000 is a wasteful number, since it uses less digits than its factorization.

3331111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3331111000 is about 57715.7777388471. Note that the first 4 decimals coincide. The cubic root of 3331111000 is about 1493.4695358781.

Adding to 3331111000 its reverse (1111333), we get a palindrome (3332222333).

The spelling of 3331111000 in words is "three billion, three hundred thirty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 467 500 700 875 934 1000 1019 1400 1750 1868 2038 2335 3269 3500 3736 4076 4670 5095 6538 7000 7133 8152 9340 10190 11675 13076 14266 16345 18680 20380 23350 25475 26152 28532 32690 35665 40760 46700 50950 57064 58375 65380 71330 81725 93400 101900 116750 127375 130760 142660 163450 178325 203800 233500 254750 285320 326900 356650 408625 467000 475873 509500 653800 713300 817250 891625 951746 1019000 1426600 1634500 1783250 1903492 2379365 3269000 3331111 3566500 3806984 4758730 6662222 7133000 9517460 11896825 13324444 16655555 19034920 23793650 26648888 33311110 47587300 59484125 66622220 83277775 95174600 118968250 133244440 166555550 237936500 333111100 416388875 475873000 666222200 832777750 1665555500 3331111000