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132133303000 = 23539711231213
BaseRepresentation
bin111101100001111000…
…0100011001011011000
3110122001121010021012001
41323003300203023120
54131102111144000
6140411243130344
712355246354426
oct1730360431330
9418047107161
10132133303000
1151045894266
12217372139b4
13c5c9b52bba
146576944116
1536852a846a
hex1ec3c232d8

132133303000 has 128 divisors (see below), whose sum is σ = 312915395520. Its totient is φ = 52218777600.

The previous prime is 132133302989. The next prime is 132133303007. The reversal of 132133303000 is 303331231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133303007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108930394 + ... + 108931606.

Almost surely, 2132133303000 is an apocalyptic number.

132133303000 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 132133303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156457697760).

132133303000 is an abundant number, since it is smaller than the sum of its proper divisors (180782092520).

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

132133303000 is a wasteful number, since it uses less digits than its factorization.

132133303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 132133303000 its reverse (303331231), we get a palindrome (132436634231).

The spelling of 132133303000 in words is "one hundred thirty-two billion, one hundred thirty-three million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1123 1213 1940 2246 2425 2426 3880 4492 4850 4852 5615 6065 8984 9700 9704 11230 12125 12130 19400 22460 24250 24260 28075 30325 44920 48500 48520 56150 60650 97000 108931 112300 117661 121300 140375 151625 217862 224600 235322 242600 280750 303250 435724 470644 544655 561500 588305 606500 871448 941288 1089310 1123000 1176610 1213000 1362199 2178620 2353220 2723275 2724398 2941525 4357240 4706440 5446550 5448796 5883050 6810995 10893100 10897592 11766100 13616375 13621990 14707625 21786200 23532200 27232750 27243980 29415250 34054975 54465500 54487960 58830500 68109950 108931000 117661000 132133303 136219900 170274875 264266606 272439800 340549750 528533212 660666515 681099500 1057066424 1321333030 1362199000 2642666060 3303332575 5285332120 6606665150 13213330300 16516662875 26426660600 33033325750 66066651500 132133303000