Search a number
-
+
1005110561050 = 252173133777901
BaseRepresentation
bin11101010000001010100…
…00100000100100011010
310120002100212211211021221
432220011100200210122
5112431431300423200
62045424051322254
7132421401542641
oct16500520404432
93502325754257
101005110561050
113582a0788072
121429695b038a
1373a20cc7c6b
143690d088358
151b22a25b91a
hexea0542091a

1005110561050 has 48 divisors (see below), whose sum is σ = 1985801295672. Its totient is φ = 377185536000.

The previous prime is 1005110561029. The next prime is 1005110561057. The reversal of 1005110561050 is 501650115001.

It can be written as a sum of positive squares in 12 ways, for example, as 36655782849 + 968454778201 = 191457^2 + 984101^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1005110561057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622901 + ... + 2155000.

Almost surely, 21005110561050 is an apocalyptic number.

1005110561050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005110561050 is a deficient number, since it is larger than the sum of its proper divisors (980690734622).

1005110561050 is a wasteful number, since it uses less digits than its factorization.

1005110561050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778243 (or 3778238 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 1005110561050 its reverse (501650115001), we get a palindrome (1506760676051).

The spelling of 1005110561050 in words is "one trillion, five billion, one hundred ten million, five hundred sixty-one thousand, fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 313 425 626 850 1565 3130 5321 7825 10642 15650 26605 53210 133025 266050 3777901 7555802 18889505 37779010 64224317 94447525 128448634 188895050 321121585 642243170 1182483013 1605607925 2364966026 3211215850 5912415065 11824830130 20102211221 29562075325 40204422442 59124150650 100511056105 201022112210 502555280525 1005110561050