Search a number
-
+
1100212110 = 232574316453
BaseRepresentation
bin100000110010011…
…1110011110001110
32211200020120021200
41001210332132032
54223123241420
6301101210330
736156435324
oct10144763616
92750216250
101100212110
1151504a708
122685609a6
13146c263aa
14a6195d14
15668c8b90
hex4193e78e

1100212110 has 48 divisors (see below), whose sum is σ = 2864575584. Its totient is φ = 292977216.

The previous prime is 1100212097. The next prime is 1100212129. The reversal of 1100212110 is 112120011.

It is a happy number.

1100212110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11002121103 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100212092 and 1100212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58644 + ... + 75096.

It is an arithmetic number, because the mean of its divisors is an integer number (59678658).

Almost surely, 21100212110 is an apocalyptic number.

1100212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100212110 is an abundant number, since it is smaller than the sum of its proper divisors (1764363474).

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

1100212110 is a wasteful number, since it uses less digits than its factorization.

1100212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17209 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100212110 is about 33169.4454279839. The cubic root of 1100212110 is about 1032.3464617785.

Adding to 1100212110 its reverse (112120011), we get a palindrome (1212332121).

The spelling of 1100212110 in words is "one billion, one hundred million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 743 1486 2229 3715 4458 6687 7430 11145 13374 16453 22290 32906 33435 49359 66870 82265 98718 148077 164530 246795 296154 493590 740385 1480770 12224579 24449158 36673737 61122895 73347474 110021211 122245790 183368685 220042422 366737370 550106055 1100212110