Search a number
-
+
1303114344030 = 232561244797001
BaseRepresentation
bin10010111101100111101…
…010101110011001011110
311121120120021112112002100
4102331213222232121132
5132322234233002110
62434350434505530
7163101250110522
oct22754752563136
94546507475070
101303114344030
11462714090a34
121906764352a6
1395b633a5365
14470dd037d82
1523d6c553bc0
hex12f67aae65e

1303114344030 has 96 divisors (see below), whose sum is σ = 3445082679168. Its totient is φ = 341657280000.

The previous prime is 1303114344017. The next prime is 1303114344083. The reversal of 1303114344030 is 304434113031.

1303114344030 is a `hidden beast` number, since 1 + 3 + 0 + 311 + 4 + 344 + 0 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1303114343985 and 1303114344003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13385530 + ... + 13482530.

It is an arithmetic number, because the mean of its divisors is an integer number (35886277908).

Almost surely, 21303114344030 is an apocalyptic number.

1303114344030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303114344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722541339584).

1303114344030 is an abundant number, since it is smaller than the sum of its proper divisors (2141968335138).

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

1303114344030 is a wasteful number, since it uses less digits than its factorization.

1303114344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99522 (or 99519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1303114344030 its reverse (304434113031), we get a palindrome (1607548457061).

The spelling of 1303114344030 in words is "one trillion, three hundred three billion, one hundred fourteen million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2447 2745 4894 5490 7341 12235 14682 22023 24470 36705 44046 73410 97001 110115 149267 194002 220230 291003 298534 447801 485005 582006 746335 873009 895602 970010 1343403 1455015 1492670 1746018 2239005 2686806 2910030 4365045 4478010 5917061 6717015 8730090 11834122 13434030 17751183 29585305 35502366 53253549 59170610 88755915 106507098 177511830 237361447 266267745 474722894 532535490 712084341 1186807235 1424168682 2136253023 2373614470 3560421705 4272506046 7120843410 10681265115 14479048267 21362530230 28958096534 43437144801 72395241335 86874289602 130311434403 144790482670 217185724005 260622868806 434371448010 651557172015 1303114344030