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331031010030 = 235723451715173
BaseRepresentation
bin1001101000100101111…
…11000101101011101110
31011122110010020122222220
410310102333011223232
520410422414310110
6412023515220210
732626154105340
oct4642277055356
91148403218886
10331031010030
11118431414436
12541a5747666
13252a699a7c6
141204448b290
158926a92370
hex4d12fc5aee

331031010030 has 128 divisors (see below), whose sum is σ = 947719968768. Its totient is φ = 72353690112.

The previous prime is 331031009963. The next prime is 331031010031. The reversal of 331031010030 is 30010130133.

331031010030 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 331031009991 and 331031010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331031010031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21809524 + ... + 21824696.

It is an arithmetic number, because the mean of its divisors is an integer number (7404062256).

Almost surely, 2331031010030 is an apocalyptic number.

331031010030 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 331031010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473859984384).

331031010030 is an abundant number, since it is smaller than the sum of its proper divisors (616688958738).

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

331031010030 is a wasteful number, since it uses less digits than its factorization.

331031010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 331031010030 its reverse (30010130133), we get a palindrome (361041140163).

The spelling of 331031010030 in words is "three hundred thirty-one billion, thirty-one million, ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4517 4830 9034 13551 15173 22585 27102 30346 31619 45170 45519 63238 67755 75865 91038 94857 103891 106211 135510 151730 158095 189714 207782 212422 227595 311673 316190 318633 348979 455190 474285 519455 531055 623346 637266 697958 727237 948570 1038910 1046937 1062110 1454474 1558365 1593165 1744895 2093874 2181711 2442853 3116730 3186330 3489790 3636185 4363422 4885706 5234685 7272370 7328559 10469370 10908555 12214265 14657118 21817110 24428530 36642795 68536441 73285590 137072882 205609323 342682205 411218646 479755087 685364410 959510174 1028046615 1439265261 1576338143 2056093230 2398775435 2878530522 3152676286 4729014429 4797550870 7196326305 7881690715 9458028858 11034367001 14392652610 15763381430 22068734002 23645072145 33103101003 47290144290 55171835005 66206202006 110343670010 165515505015 331031010030