Search a number
-
+
1124133030100 = 225241572704193
BaseRepresentation
bin10000010110111011100…
…011001100100011010100
310222110120202121201102101
4100112323203030203110
5121404211023430400
62220230344051444
7144134031045613
oct20267343144324
93873522551371
101124133030100
113a3818875773
12161a45a63b84
138200b811342
143c5a065187a
151e3944bd56a
hex105bb8cc8d4

1124133030100 has 36 divisors (see below), whose sum is σ = 2439956387484. Its totient is φ = 449544878080.

The previous prime is 1124133030089. The next prime is 1124133030127. The reversal of 1124133030100 is 10303314211.

It can be written as a sum of positive squares in 6 ways, for example, as 241232251716 + 882900778384 = 491154^2 + 939628^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936397 + ... + 1767796.

It is an arithmetic number, because the mean of its divisors is an integer number (67776566319).

Almost surely, 21124133030100 is an apocalyptic number.

1124133030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124133030100 is an abundant number, since it is smaller than the sum of its proper divisors (1315823357384).

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

1124133030100 is a wasteful number, since it uses less digits than its factorization.

1124133030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708364 (or 2708357 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1124133030100 its reverse (10303314211), we get a palindrome (1134436344311).

The spelling of 1124133030100 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4157 8314 16628 20785 41570 83140 103925 207850 415700 2704193 5408386 10816772 13520965 27041930 54083860 67604825 135209650 270419300 11241330301 22482660602 44965321204 56206651505 112413303010 224826606020 281033257525 562066515050 1124133030100