Search a number
-
+
1342241213300 = 2252132463171539
BaseRepresentation
bin10011100010000011110…
…011111000101101110100
311202022120002122102101122
4103202003303320231310
5133442402222311200
62504341143243112
7165654663031631
oct23420363705564
94668502572348
101342241213300
11478272199a29
12198175a49498
139975a5ab200
1448d71681188
1524dac56a385
hex13883cf8b74

1342241213300 has 108 divisors (see below), whose sum is σ = 3160779572160. Its totient is φ = 494523469440.

The previous prime is 1342241213249. The next prime is 1342241213309. The reversal of 1342241213300 is 33121422431.

It is a super-2 number, since 2×13422412133002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1342241213300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342241213309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7738931 + ... + 7910469.

It is an arithmetic number, because the mean of its divisors is an integer number (29266477520).

Almost surely, 21342241213300 is an apocalyptic number.

1342241213300 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 1342241213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580389786080).

1342241213300 is an abundant number, since it is smaller than the sum of its proper divisors (1818538358860).

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

1342241213300 is a wasteful number, since it uses less digits than its factorization.

1342241213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172042 (or 172022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1342241213300 its reverse (33121422431), we get a palindrome (1375362635731).

The spelling of 1342241213300 in words is "one trillion, three hundred forty-two billion, two hundred forty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 463 650 676 845 926 1300 1690 1852 2315 3380 4225 4630 6019 8450 9260 11575 12038 16900 23150 24076 30095 46300 60190 78247 120380 150475 156494 171539 300950 312988 343078 391235 601900 686156 782470 857695 1564940 1715390 1956175 2230007 3430780 3912350 4288475 4460014 7824700 8576950 8920028 11150035 17153900 22300070 28990091 44600140 55750175 57980182 79422557 111500350 115960364 144950455 158845114 223000700 289900910 317690228 397112785 579801820 724752275 794225570 1032493241 1449504550 1588451140 1985563925 2064986482 2899009100 3971127850 4129972964 5162466205 7942255700 10324932410 13422412133 20649864820 25812331025 26844824266 51624662050 53689648532 67112060665 103249324100 134224121330 268448242660 335560303325 671120606650 1342241213300