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132131013333210 = 232510491399544681
BaseRepresentation
bin11110000010110000100110…
…000111010001000011011010
3122022211121020111120001012100
4132002300212013101003122
5114304313303403130320
61145004052145224230
736555102454156233
oct3602604607210332
9568747214501170
10132131013333210
11391124a2418401
121299ba61032076
135895b93919018
14248b26493608a
15104206e351790
hex782c261d10da

132131013333210 has 48 divisors (see below), whose sum is σ = 343868128367400. Its totient is φ = 35201347791360.

The previous prime is 132131013333089. The next prime is 132131013333211. The reversal of 132131013333210 is 12333310131231.

132131013333210 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 1 + 0 + 1 + 333 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132101668615401 + 29344717809 = 11493549^2 + 171303^2 .

It is not an unprimeable number, because it can be changed into a prime (132131013333211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699677931 + ... + 699866750.

Almost surely, 2132131013333210 is an apocalyptic number.

132131013333210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132131013333210 is an abundant number, since it is smaller than the sum of its proper divisors (211737115034190).

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

132131013333210 is a wasteful number, since it uses less digits than its factorization.

132131013333210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399545743 (or 1399545740 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132131013333210 its reverse (12333310131231), we get a palindrome (144464323464441).

The spelling of 132131013333210 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, thirteen million, three hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1049 2098 3147 5245 6294 9441 10490 15735 18882 31470 47205 94410 1399544681 2799089362 4198634043 6997723405 8397268086 12595902129 13995446810 20993170215 25191804258 41986340430 62979510645 125959021290 1468122370369 2936244740738 4404367111107 7340611851845 8808734222214 13213101333321 14681223703690 22021835555535 26426202666642 44043671111070 66065506666605 132131013333210