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132102022020 = 22357381137189
BaseRepresentation
bin111101100000111100…
…1001110001110000100
3110121222102021000202020
41323001321032032010
54131021104201040
6140404204443140
712354416442303
oct1730171161604
9417872230666
10132102022020
115102a169411
12217288494b0
13c5c351cb47
14657272043a
153682679cd0
hex1ec1e4e384

132102022020 has 96 divisors (see below), whose sum is σ = 375425016960. Its totient is φ = 34700866560.

The previous prime is 132102021971. The next prime is 132102022037. The reversal of 132102022020 is 20220201231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3533586 + ... + 3570774.

It is an arithmetic number, because the mean of its divisors is an integer number (3910677260).

Almost surely, 2132102022020 is an apocalyptic number.

132102022020 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 132102022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187712508480).

132102022020 is an abundant number, since it is smaller than the sum of its proper divisors (243322994940).

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

132102022020 is a wasteful number, since it uses less digits than its factorization.

132102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38085 (or 38083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132102022020 its reverse (20220201231), we get a palindrome (152322223251).

The spelling of 132102022020 in words is "one hundred thirty-two billion, one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 811 876 1095 1460 1622 2190 2433 3244 4055 4380 4866 8110 9732 12165 16220 24330 37189 48660 59203 74378 111567 118406 148756 177609 185945 223134 236812 296015 355218 371890 446268 557835 592030 710436 743780 888045 1115670 1184060 1776090 2231340 2714797 3552180 5429594 8144391 10859188 13573985 16288782 27147970 30160279 32577564 40721955 54295940 60320558 81443910 90480837 120641116 150801395 162887820 180961674 301602790 361923348 452404185 603205580 904808370 1809616740 2201700367 4403400734 6605101101 8806801468 11008501835 13210202202 22017003670 26420404404 33025505505 44034007340 66051011010 132102022020