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132101030200 = 23521946375083
BaseRepresentation
bin111101100000111010…
…1011100000100111000
3110121222100101122020011
41323001311130010320
54131020330431300
6140404131311304
712354405141556
oct1730165340470
9417870348204
10132101030200
1151029651227
122172844b534
13c5c3263579
146572542bd6
153682530eba
hex1ec1d5c138

132101030200 has 96 divisors (see below), whose sum is σ = 324002476800. Its totient is φ = 49950552960.

The previous prime is 132101030179. The next prime is 132101030209. The reversal of 132101030200 is 2030101231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101030209) 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, 1721859 + ... + 1796941.

It is an arithmetic number, because the mean of its divisors is an integer number (3375025800).

Almost surely, 2132101030200 is an apocalyptic number.

132101030200 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 132101030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162001238400).

132101030200 is an abundant number, since it is smaller than the sum of its proper divisors (191901446600).

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

132101030200 is a wasteful number, since it uses less digits than its factorization.

132101030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75581 (or 75572 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132101030200 its reverse (2030101231), we get a palindrome (134131131431).

The spelling of 132101030200 in words is "one hundred thirty-two billion, one hundred one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 463 475 760 926 950 1852 1900 2315 3704 3800 4630 8797 9260 11575 17594 18520 23150 35188 43985 46300 70376 75083 87970 92600 150166 175940 219925 300332 351880 375415 439850 600664 750830 879700 1426577 1501660 1759400 1877075 2853154 3003320 3754150 5706308 7132885 7508300 11412616 14265770 15016600 28531540 34763429 35664425 57063080 69526858 71328850 139053716 142657700 173817145 278107432 285315400 347634290 660505151 695268580 869085725 1321010302 1390537160 1738171450 2642020604 3302525755 3476342900 5284041208 6605051510 6952685800 13210103020 16512628775 26420206040 33025257550 66050515100 132101030200