Search a number
-
+
1105051050 = 2325214916481
BaseRepresentation
bin100000111011101…
…1011110110101010
32212000100102001200
41001313123312222
54230343113200
6301353025030
736245531115
oct10167336652
92760312050
101105051050
11517855234
1226a0b5176
13147c2ba7c
14a6a9557c
1567032800
hex41ddbdaa

1105051050 has 72 divisors (see below), whose sum is σ = 2989010700. Its totient is φ = 292684800.

The previous prime is 1105051043. The next prime is 1105051067. The reversal of 1105051050 is 501505011.

1105051050 is a `hidden beast` number, since 1 + 105 + 0 + 510 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 148571721 + 956479329 = 12189^2 + 30927^2 .

It is a super-2 number, since 2×11050510502 = 2442275646212205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58810 + ... + 75290.

Almost surely, 21105051050 is an apocalyptic number.

1105051050 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 1105051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494505350).

1105051050 is an abundant number, since it is smaller than the sum of its proper divisors (1883959650).

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

1105051050 is a wasteful number, since it uses less digits than its factorization.

1105051050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16648 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1105051050 is about 33242.3081328598. The cubic root of 1105051050 is about 1033.8577330214.

Adding to 1105051050 its reverse (501505011), we get a palindrome (1606556061).

The spelling of 1105051050 in words is "one billion, one hundred five million, fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 745 894 1341 1490 2235 2682 3725 4470 6705 7450 11175 13410 16481 22350 32962 33525 49443 67050 82405 98886 148329 164810 247215 296658 412025 494430 741645 824050 1236075 1483290 2455669 2472150 3708225 4911338 7367007 7416450 12278345 14734014 22101021 24556690 36835035 44202042 61391725 73670070 110505105 122783450 184175175 221010210 368350350 552525525 1105051050