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2132141340340 = 2251167911427117
BaseRepresentation
bin11111000001101101100…
…001101111011010110100
321112211102121002110022101
4133001231201233122310
5234413111140342330
64311254152311444
7310020310236124
oct37015541573264
97484377073271
102132141340340
11752266224680
122a52819a2584
131260a1c6c69b
14752a64c6c84
153a6ddd224ca
hex1f06d86f6b4

2132141340340 has 48 divisors (see below), whose sum is σ = 4885264669824. Its totient is φ = 775209411200.

The previous prime is 2132141340247. The next prime is 2132141340359. The reversal of 2132141340340 is 430431412312.

It is a happy number.

It is a super-2 number, since 2×21321413403402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132141340299 and 2132141340308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780462 + ... + 2207578.

It is an arithmetic number, because the mean of its divisors is an integer number (101776347288).

Almost surely, 22132141340340 is an apocalyptic number.

2132141340340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132141340340 is an abundant number, since it is smaller than the sum of its proper divisors (2753123329484).

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

2132141340340 is a wasteful number, since it uses less digits than its factorization.

2132141340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433928 (or 1433926 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2132141340340 its reverse (430431412312), we get a palindrome (2562572752652).

The spelling of 2132141340340 in words is "two trillion, one hundred thirty-two billion, one hundred forty-one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 6791 13582 27164 33955 67910 74701 135820 149402 298804 373505 747010 1427117 1494020 2854234 5708468 7135585 14271170 15698287 28542340 31396574 62793148 78491435 156982870 313965740 9691551547 19383103094 38766206188 48457757735 96915515470 106607067017 193831030940 213214134034 426428268068 533035335085 1066070670170 2132141340340