Search a number
-
+
30331130210332 = 227193117471052743
BaseRepresentation
bin1101110010110000001000…
…01111011110100000011100
310222101121221121121022201021
412321120010033132200130
512433421123313212312
6144301532344453524
76250231452626350
oct671300417364034
9128347847538637
1030331130210332
1197343a6300106
12349a46217a2a4
1313c02a0830553
1476c06aa9b460
15378eb0413c07
hex1b96043de81c

30331130210332 has 96 divisors (see below), whose sum is σ = 65952642990080. Its totient is φ = 11910807207360.

The previous prime is 30331130210321. The next prime is 30331130210341. The reversal of 30331130210332 is 23301203113303.

It is a super-2 number, since 2×303311302103322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30331130210297 and 30331130210306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28285153 + ... + 29337895.

Almost surely, 230331130210332 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 30331130210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32976321495040).

30331130210332 is an abundant number, since it is smaller than the sum of its proper divisors (35621512779748).

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

30331130210332 is a wasteful number, since it uses less digits than its factorization.

30331130210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054551 (or 1054549 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 30331130210332 its reverse (23301203113303), we get a palindrome (53632333323635).

The spelling of 30331130210332 in words is "thirty trillion, three hundred thirty-one billion, one hundred thirty million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 1747 2356 3494 4123 6988 8246 12229 16492 24458 33193 48916 54157 66386 108314 132772 216628 232351 379099 464702 758198 929404 1028983 1052743 1516396 2057966 2105486 4115932 4210972 7202881 7369201 14405762 14738402 20002117 28811524 29476804 32635033 40004234 65270066 80008468 130540132 140014819 228445231 280029638 456890462 560059276 620065627 913780924 1240131254 1839142021 2480262508 3678284042 4340459389 7356568084 8680918778 12873994147 17361837556 25747988294 34943698399 51495976588 57013402651 69887396798 114026805302 139774793596 228053610604 244605888793 399093818557 489211777586 798187637114 978423555172 1083254650369 1596375274228 2166509300738 4333018601476 7582782552583 15165565105166 30331130210332