Search a number
-
+
1011121212200 = 235211459600551
BaseRepresentation
bin11101011011010111000…
…01010100101100101000
310120122212202221112121012
432231223201110230220
5113031234012242300
62052300324403052
7133023345332141
oct16555341245450
93518782845535
101011121212200
1135a8a5623260
12143b66546488
137446b352a88
1436d1d46aac8
151b47cc9a435
hexeb6b854b28

1011121212200 has 48 divisors (see below), whose sum is σ = 2564571080160. Its totient is φ = 367680440000.

The previous prime is 1011121212181. The next prime is 1011121212209. The reversal of 1011121212200 is 22121211101.

1011121212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111212122002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011121212209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229798076 + ... + 229802475.

It is an arithmetic number, because the mean of its divisors is an integer number (53428564170).

Almost surely, 21011121212200 is an apocalyptic number.

1011121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121212200 is an abundant number, since it is smaller than the sum of its proper divisors (1553449867960).

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

1011121212200 is a wasteful number, since it uses less digits than its factorization.

1011121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459600578 (or 459600569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011121212200 its reverse (22121211101), we get a palindrome (1033242423301).

The spelling of 1011121212200 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 459600551 919201102 1838402204 2298002755 3676804408 4596005510 5055606061 9192011020 10111212122 11490013775 18384022040 20222424244 22980027550 25278030305 40444848488 45960055100 50556060610 91920110200 101112121220 126390151525 202224242440 252780303050 505560606100 1011121212200