Search a number
-
+
1230100311120 = 243511514453013
BaseRepresentation
bin10001111001100111101…
…100010010110001010000
311100121002210202100100020
4101321213230102301100
5130123221134423440
62341033354423440
7154605014061102
oct21714754226120
94317083670306
101230100311120
1143475661437a
1217a49a131b80
138bcc86a20a5
1443774005572
1521ee752b3d0
hex11e67b12c50

1230100311120 has 80 divisors (see below), whose sum is σ = 3816624863232. Its totient is φ = 327741683200.

The previous prime is 1230100311109. The next prime is 1230100311151. The reversal of 1230100311120 is 211130010321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1230100311120.

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 15 ways as a sum of consecutive naturals, for example, 1950267 + ... + 2502746.

Almost surely, 21230100311120 is an apocalyptic number.

1230100311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230100311120 is an abundant number, since it is smaller than the sum of its proper divisors (2586524552112).

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

1230100311120 is a wasteful number, since it uses less digits than its factorization.

1230100311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454180 (or 4454174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1230100311120 its reverse (211130010321), we get a palindrome (1441230321441).

The spelling of 1230100311120 in words is "one trillion, two hundred thirty billion, one hundred million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1151 2302 3453 4604 5755 6906 9208 11510 13812 17265 18416 23020 27624 34530 46040 55248 69060 92080 138120 276240 4453013 8906026 13359039 17812052 22265065 26718078 35624104 44530130 53436156 66795195 71248208 89060260 106872312 133590390 178120520 213744624 267180780 356241040 534361560 1068723120 5125417963 10250835926 15376253889 20501671852 25627089815 30752507778 41003343704 51254179630 61505015556 76881269445 82006687408 102508359260 123010031112 153762538890 205016718520 246020062224 307525077780 410033437040 615050155560 1230100311120