Search a number
-
+
1000112022200 = 235223217415657
BaseRepresentation
bin11101000110110110101…
…00100110001010111000
310112121110112012202001102
432203123110212022320
5112341212134202300
62043240051310532
7132153464632244
oct16433324461270
93477415182042
101000112022200
11356166188925
121419b35ab448
137340555b475
1436597287424
151b0364e30d5
hexe8db5262b8

1000112022200 has 48 divisors (see below), whose sum is σ = 2426358743280. Its totient is φ = 382651554560.

The previous prime is 1000112022187. The next prime is 1000112022209. The reversal of 1000112022200 is 22202110001.

It is a happy number.

1000112022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112022209) 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, 108703229 + ... + 108712428.

It is an arithmetic number, because the mean of its divisors is an integer number (50549140485).

Almost surely, 21000112022200 is an apocalyptic number.

1000112022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112022200 is an abundant number, since it is smaller than the sum of its proper divisors (1426246721080).

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

1000112022200 is a wasteful number, since it uses less digits than its factorization.

1000112022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217415696 (or 217415687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000112022200 its reverse (22202110001), we get a palindrome (1022314132201).

The spelling of 1000112022200 in words is "one trillion, one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 217415657 434831314 869662628 1087078285 1739325256 2174156570 4348313140 5000560111 5435391425 8696626280 10001120222 10870782850 20002240444 21741565700 25002800555 40004480888 43483131400 50005601110 100011202220 125014002775 200022404440 250028005550 500056011100 1000112022200