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132131043220240 = 245471272234672657
BaseRepresentation
bin11110000010110000100111…
…111001010001101100010000
3122022211121022120210110111101
4132002300213321101230100
5114304313334031021430
61145004055133554144
736555103266204361
oct3602604771215420
9568747276713441
10132131043220240
1139112508280a29
121299ba6b045954
135895b99b8175c
14248b2688b5b68
151042071ca6dca
hex782c27e51b10

132131043220240 has 320 divisors, whose sum is σ = 318429283221504. Its totient is φ = 50961865457664.

The previous prime is 132131043220229. The next prime is 132131043220283. The reversal of 132131043220240 is 42022340131231.

It is a super-2 number, since 2×1321310432202402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132131043220199 and 132131043220208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49729408992 + ... + 49729411648.

Almost surely, 2132131043220240 is an apocalyptic number.

132131043220240 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 132131043220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159214641610752).

132131043220240 is an abundant number, since it is smaller than the sum of its proper divisors (186298240001264).

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

132131043220240 is a wasteful number, since it uses less digits than its factorization.

132131043220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3528 counting only the distinct ones).

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

Adding to 132131043220240 its reverse (42022340131231), we get a palindrome (174153383351471).

The spelling of 132131043220240 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, forty-three million, two hundred twenty thousand, two hundred forty".