Search a number
-
+
1134211123100 = 22521110110208921
BaseRepresentation
bin10000100000010100010…
…000000100011110011100
311000102121010022220000002
4100200110100010132130
5122040331021414400
62225014400353432
7144641544322136
oct20402420043634
94012533286002
101134211123100
113a801a679150
12163999015878
1382c56741b93
143cc78d02056
151e784154ed5
hex1081440479c

1134211123100 has 72 divisors (see below), whose sum is σ = 2711571354576. Its totient is φ = 408356800000.

The previous prime is 1134211123081. The next prime is 1134211123147. The reversal of 1134211123100 is 13211124311.

It is a super-2 number, since 2×11342111231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4993361 + ... + 5215560.

It is an arithmetic number, because the mean of its divisors is an integer number (37660713258).

Almost surely, 21134211123100 is an apocalyptic number.

1134211123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134211123100 is an abundant number, since it is smaller than the sum of its proper divisors (1577360231476).

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

1134211123100 is a wasteful number, since it uses less digits than its factorization.

1134211123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209047 (or 10209040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1134211123100 its reverse (13211124311), we get a palindrome (1147422247411).

The spelling of 1134211123100 in words is "one trillion, one hundred thirty-four billion, two hundred eleven million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 10208921 20417842 40835684 51044605 102089210 112298131 204178420 224596262 255223025 449192524 510446050 561490655 1020892100 1031101021 1122981310 2062202042 2245962620 2807453275 4124404084 5155505105 5614906550 10311010210 11229813100 11342111231 20622020420 22684222462 25777525525 45368444924 51555051050 56710556155 103110102100 113421112310 226842224620 283552780775 567105561550 1134211123100