Search a number
-
+
11012110301000 = 235346123887441
BaseRepresentation
bin1010000000111111010011…
…1011000011011101001000
31102222202011220022201012002
42200033310323003131020
52420410300214113000
635230521005210132
72214412234064324
oct240176473033510
942882156281162
1011012110301000
1135662341a8336
12129a279560948
1361b58c397c33
142a0dbbaa6984
151416b49668d5
hexa03f4ec3748

11012110301000 has 64 divisors (see below), whose sum is σ = 25824235797360. Its totient is φ = 4395288960000.

The previous prime is 11012110300981. The next prime is 11012110301063. The reversal of 11012110301000 is 10301121011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 131915692804 + 10880194608196 = 363202^2 + 3298514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11482721 + ... + 12404720.

Almost surely, 211012110301000 is an apocalyptic number.

11012110301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012110301000 is an abundant number, since it is smaller than the sum of its proper divisors (14812125496360).

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

11012110301000 is a wasteful number, since it uses less digits than its factorization.

11012110301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23887923 (or 23887909 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11012110301000 its reverse (10301121011), we get a palindrome (11022411422011).

The spelling of 11012110301000 in words is "eleven trillion, twelve billion, one hundred ten million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 461 500 922 1000 1844 2305 3688 4610 9220 11525 18440 23050 46100 57625 92200 115250 230500 461000 23887441 47774882 95549764 119437205 191099528 238874410 477748820 597186025 955497640 1194372050 2388744100 2985930125 4777488200 5971860250 11012110301 11943720500 22024220602 23887441000 44048441204 55060551505 88096882408 110121103010 220242206020 275302757525 440484412040 550605515050 1101211030100 1376513787625 2202422060200 2753027575250 5506055150500 11012110301000