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3141242010 = 2325295920399
BaseRepresentation
bin1011101100111011…
…1000110010011010
322002220210121221200
42323032320302122
522413124221020
61235411415030
7140562054654
oct27316706232
98086717850
103141242010
111372170685
12737bb4476
133b0a37caa
1421b2916d4
15135b93590
hexbb3b8c9a

3141242010 has 96 divisors (see below), whose sum is σ = 8592480000. Its totient is φ = 795032448.

The previous prime is 3141241973. The next prime is 3141242017. The reversal of 3141242010 is 102421413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3141242017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143791 + ... + 164189.

It is an arithmetic number, because the mean of its divisors is an integer number (89505000).

Almost surely, 23141242010 is an apocalyptic number.

3141242010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240000).

3141242010 is an abundant number, since it is smaller than the sum of its proper divisors (5451237990).

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

3141242010 is a wasteful number, since it uses less digits than its factorization.

3141242010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3141242010 is about 56046.7841182703. The cubic root of 3141242010 is about 1464.5373962126.

Adding to 3141242010 its reverse (102421413), we get a palindrome (3243663423).

The spelling of 3141242010 in words is "three billion, one hundred forty-one million, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 59 87 90 118 145 174 177 261 290 295 354 435 522 531 590 870 885 1062 1305 1711 1770 2610 2655 3422 5133 5310 8555 10266 15399 17110 20399 25665 30798 40798 51330 61197 76995 101995 122394 153990 183591 203990 305985 367182 591571 611970 917955 1183142 1203541 1774713 1835910 2407082 2957855 3549426 3610623 5324139 5915710 6017705 7221246 8873565 10648278 10831869 12035410 17747130 18053115 21663738 26620695 34902689 36106230 53241390 54159345 69805378 104708067 108318690 174513445 209416134 314124201 349026890 523540335 628248402 1047080670 1570621005 3141242010