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2315361334050 = 2325219328194873
BaseRepresentation
bin100001101100010110010…
…010100011001100100010
322012100100111211111112100
4201230112102203030202
5300413330000142200
64531355020511230
7326164545421032
oct41542622431442
98170314744470
102315361334050
11812a37125786
123148959ab516
1313a450a3304b
14800c7bd38c2
1540364077d00
hex21b164a3322

2315361334050 has 144 divisors (see below), whose sum is σ = 6275153451528. Its totient is φ = 612038246400.

The previous prime is 2315361334037. The next prime is 2315361334051. The reversal of 2315361334050 is 504331635132.

2315361334050 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 3 + 613 + 34 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 712840801401 + 1602520532649 = 844299^2 + 1265907^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2315361333996 and 2315361334014.

It is not an unprimeable number, because it can be changed into a prime (2315361334051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24357414 + ... + 24452286.

Almost surely, 22315361334050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315361334050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137576725764).

2315361334050 is an abundant number, since it is smaller than the sum of its proper divisors (3959792117478).

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

2315361334050 is a wasteful number, since it uses less digits than its factorization.

2315361334050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95365 (or 95357 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 2315361334050 its reverse (504331635132), we get a palindrome (2819692969182).

The spelling of 2315361334050 in words is "two trillion, three hundred fifteen billion, three hundred sixty-one million, three hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 193 225 281 386 450 562 579 843 965 1158 1405 1686 1737 1930 2529 2810 2895 3474 4215 4825 5058 5790 7025 8430 8685 9650 12645 14050 14475 17370 21075 25290 28950 42150 43425 54233 63225 86850 94873 108466 126450 162699 189746 271165 284619 325398 474365 488097 542330 569238 813495 853857 948730 976194 1355825 1423095 1626990 1707714 2371825 2440485 2711650 2846190 4067475 4269285 4743650 4880970 7115475 8134950 8538570 12202425 14230950 18310489 21346425 24404850 26659313 36620978 42692850 53318626 54931467 79977939 91552445 109862934 133296565 159955878 164794401 183104890 239933817 266593130 274657335 329588802 399889695 457762225 479867634 549314670 666482825 799779390 823972005 915524450 1199669085 1332965650 1373286675 1647944010 1999448475 2399338170 2746573350 3998896950 4119860025 5145247409 5998345425 8239720050 10290494818 11996690850 15435742227 25726237045 30871484454 46307226681 51452474090 77178711135 92614453362 128631185225 154357422270 231536133405 257262370450 385893555675 463072266810 771787111350 1157680667025 2315361334050