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132101410213240 = 23513716199715953
BaseRepresentation
bin11110000010010101000001…
…101000010100110101111000
3122022201202211102001201212121
4132002111001220110311320
5114303322142003310430
61144542314451451024
736553004043616066
oct3602250150246570
9568652742051777
10132101410213240
11391009912091a6
121299617abb6a74
1358931568423a0
142489a570bd036
1510413da4c1a7a
hex782541a14d78

132101410213240 has 256 divisors, whose sum is σ = 325514115763200. Its totient is φ = 47953730764800.

The previous prime is 132101410213219. The next prime is 132101410213327. The reversal of 132101410213240 is 42312014101231.

It is a congruent number.

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, 22190726104 + ... + 22190732056.

It is an arithmetic number, because the mean of its divisors is an integer number (1271539514700).

Almost surely, 2132101410213240 is an apocalyptic number.

132101410213240 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 132101410213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162757057881600).

132101410213240 is an abundant number, since it is smaller than the sum of its proper divisors (193412705549960).

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

132101410213240 is a wasteful number, since it uses less digits than its factorization.

132101410213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132101410213240 its reverse (42312014101231), we get a palindrome (174413424314471).

The spelling of 132101410213240 in words is "one hundred thirty-two trillion, one hundred one billion, four hundred ten million, two hundred thirteen thousand, two hundred forty".