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132133000300 = 22527739712663
BaseRepresentation
bin111101100001110111…
…1011001010001101100
3110122001120112212221221
41323003233121101230
54131102022002200
6140411232433124
712355243654060
oct1730357312154
9418046485857
10132133000300
11510456a78a4
12217370a87a4
13c5c9a781a2
1465768a5aa0
15368524891a
hex1ec3bd946c

132133000300 has 144 divisors (see below), whose sum is σ = 332645709312. Its totient is φ = 44619379200.

The previous prime is 132133000277. The next prime is 132133000301. The reversal of 132133000300 is 3000331231.

It is not an unprimeable number, because it can be changed into a prime (132133000301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49616769 + ... + 49619431.

It is an arithmetic number, because the mean of its divisors is an integer number (2310039648).

Almost surely, 2132133000300 is an apocalyptic number.

132133000300 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 132133000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166322854656).

132133000300 is an abundant number, since it is smaller than the sum of its proper divisors (200512709012).

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

132133000300 is a wasteful number, since it uses less digits than its factorization.

132133000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 132133000300 its reverse (3000331231), we get a palindrome (135133331531).

The spelling of 132133000300 in words is "one hundred thirty-two billion, one hundred thirty-three million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 971 1022 1460 1825 1942 2044 2555 2663 3650 3884 4855 5110 5326 6797 7300 9710 10220 10652 12775 13315 13594 18641 19420 24275 25550 26630 27188 33985 37282 48550 51100 53260 66575 67970 70883 74564 93205 97100 133150 135940 141766 169925 186410 194399 266300 283532 339850 354415 372820 388798 466025 496181 679700 708830 777596 932050 971995 992362 1360793 1417660 1772075 1864100 1943990 1984724 2480905 2585773 2721586 3544150 3887980 4859975 4961810 5171546 5443172 6803965 7088300 9719950 9923620 10343092 12404525 12928865 13607930 18100411 19439900 24809050 25857730 27215860 34019825 36200822 49618100 51715460 64644325 68039650 72401644 90502055 129288650 136079300 181004110 188761429 258577300 362008220 377522858 452510275 755045716 905020550 943807145 1321330003 1810041100 1887614290 2642660006 3775228580 4719035725 5285320012 6606650015 9438071450 13213300030 18876142900 26426600060 33033250075 66066500150 132133000300