Search a number
-
+
3130231302 = 2321137479091
BaseRepresentation
bin1011101010010011…
…1000101000000110
322002011002020002200
42322210320220012
522402314400202
61234335415330
7140366345532
oct27244705006
98064066080
103130231302
111366a30120
12734384546
133ab681393
14219a26bc2
15134c1ae1c
hexba938a06

3130231302 has 96 divisors (see below), whose sum is σ = 7761222144. Its totient is φ = 903182400.

The previous prime is 3130231297. The next prime is 3130231309. The reversal of 3130231302 is 2031320313.

3130231302 is a `hidden beast` number, since 3 + 130 + 231 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130231309) 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, 339777 + ... + 348867.

It is an arithmetic number, because the mean of its divisors is an integer number (80846064).

Almost surely, 23130231302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130231302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880611072).

3130231302 is an abundant number, since it is smaller than the sum of its proper divisors (4630990842).

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

3130231302 is a wasteful number, since it uses less digits than its factorization.

3130231302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130231302 is about 55948.4700595110. The cubic root of 3130231302 is about 1462.8242233616.

Adding to 3130231302 its reverse (2031320313), we get a palindrome (5161551615).

It can be divided in two parts, 3130 and 231302, that added together give a palindrome (234432).

The spelling of 3130231302 in words is "three billion, one hundred thirty million, two hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 47 66 74 94 99 111 141 198 222 282 333 407 423 517 666 814 846 1034 1221 1551 1739 2442 3102 3478 3663 4653 5217 7326 9091 9306 10434 15651 18182 19129 27273 31302 38258 54546 57387 81819 100001 114774 163638 172161 200002 300003 336367 344322 427277 600006 672734 854554 900009 1009101 1281831 1800018 2018202 2563662 3027303 3700037 3845493 4700047 6054606 7400074 7690986 9400094 11100111 14100141 15809249 22200222 28200282 31618498 33300333 42300423 47427747 66600666 84600846 94855494 142283241 173901739 284566482 347803478 521705217 1043410434 1565115651 3130231302