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312330031230 = 23572991214399
BaseRepresentation
bin1001000101110000101…
…00100001000001111110
31002212011211001111211110
410202320110201001332
520104122441444410
6355252112302450
731364554314300
oct4427024410176
91085154044743
10312330031230
11110505184258
1250646841a26
13235b6477489
141118c90d970
1581cedc1720
hex48b852107e

312330031230 has 96 divisors (see below), whose sum is σ = 872858419200. Its totient is φ = 71317350720.

The previous prime is 312330031229. The next prime is 312330031231. The reversal of 312330031230 is 32130033213.

It is an interprime number because it is at equal distance from previous prime (312330031229) and next prime (312330031231).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312330031197 and 312330031206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330031231) 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, 1349571 + ... + 1563969.

It is an arithmetic number, because the mean of its divisors is an integer number (9092275200).

Almost surely, 2312330031230 is an apocalyptic number.

312330031230 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 312330031230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436429209600).

312330031230 is an abundant number, since it is smaller than the sum of its proper divisors (560528387970).

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

312330031230 is a wasteful number, since it uses less digits than its factorization.

312330031230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215414 (or 215407 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 312330031230 its reverse (32130033213), we get a palindrome (344460064443).

The spelling of 312330031230 in words is "three hundred twelve billion, three hundred thirty million, thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 991 1470 1982 2973 4955 5946 6937 9910 13874 14865 20811 29730 34685 41622 48559 69370 97118 104055 145677 208110 214399 242795 291354 428798 485590 643197 728385 1071995 1286394 1456770 1500793 2143990 3001586 3215985 4502379 6431970 7503965 9004758 10505551 15007930 21011102 22511895 31516653 45023790 52527755 63033306 105055510 157583265 212469409 315166530 424938818 637408227 1062347045 1274816454 1487285863 2124694090 2974571726 3187041135 4461857589 6374082270 7436429315 8923715178 10411001041 14872858630 20822002082 22309287945 31233003123 44618575890 52055005205 62466006246 104110010410 156165015615 312330031230