Search a number
-
+
1112220100 = 225219678737
BaseRepresentation
bin100001001001011…
…0010000111000100
32212111211122011001
41002102302013010
54234212020400
6302210423044
736363500125
oct10222620704
92774748131
101112220100
11520901472
12270591a84
1314956bc04
14a7a0004c
156799ba6a
hex424b21c4

1112220100 has 72 divisors (see below), whose sum is σ = 2578758560. Its totient is φ = 415134720.

The previous prime is 1112220097. The next prime is 1112220101. The reversal of 1112220100 is 10222111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1112220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122932 + ... + 131668.

Almost surely, 21112220100 is an apocalyptic number.

1112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289379280).

1112220100 is an abundant number, since it is smaller than the sum of its proper divisors (1466538460).

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

1112220100 is a wasteful number, since it uses less digits than its factorization.

1112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1112220100 is about 33349.9640179716. The cubic root of 1112220100 is about 1036.0886427038.

Adding to 1112220100 its reverse (10222111), we get a palindrome (1122442211).

It can be divided in two parts, 111 and 2220100, that multiplied together give a triangular number (246431100 = T22200).

The spelling of 1112220100 in words is "one billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2546 3350 5092 6365 6700 8737 12730 17474 25460 31825 34948 43685 63650 87370 127300 166003 174740 218425 332006 436850 585379 664012 830015 873700 1170758 1660030 2341516 2926895 3320060 4150075 5853790 8300150 11122201 11707580 14634475 16600300 22244402 29268950 44488804 55611005 58537900 111222010 222444020 278055025 556110050 1112220100