Search a number
-
+
13142233021300 = 2252131422330213
BaseRepresentation
bin1011111100111110101000…
…1000010111101101110100
31201112101101211000122101021
42333033222020113231310
53210310243123140200
643541243011510524
72524331533341025
oct277175210275564
951471354018337
1013142233021300
114207653a17889
1215830772b8444
137443cc070c96
14336132048c4c
1517bcd644941a
hexbf3ea217b74

13142233021300 has 18 divisors (see below), whose sum is σ = 28518645656438. Its totient is φ = 5256893208480.

The previous prime is 13142233021273. The next prime is 13142233021301. The reversal of 13142233021300 is 312033224131.

It can be written as a sum of positive squares in 3 ways, for example, as 2357655837156 + 10784577184144 = 1535466^2 + 3283988^2 .

It is a super-2 number, since 2×131422330213002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142233021301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65711165007 + ... + 65711165206.

Almost surely, 213142233021300 is an apocalyptic number.

13142233021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142233021300 is an abundant number, since it is smaller than the sum of its proper divisors (15376412635138).

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

13142233021300 is a wasteful number, since it uses less digits than its factorization.

13142233021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131422330227 (or 131422330220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13142233021300 its reverse (312033224131), we get a palindrome (13454266245431).

The spelling of 13142233021300 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty-three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131422330213 262844660426 525689320852 657111651065 1314223302130 2628446604260 3285558255325 6571116510650 13142233021300