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132313422300 = 223529740911117
BaseRepresentation
bin111101100111001111…
…1101001100111011100
3110122112011001021102020
41323032133221213130
54131434214003200
6140441155500140
712362564350533
oct1731637514734
9418464037366
10132313422300
1151128528594
12217875b7650
13c628269177
14659282d31a
153695ed6ea0
hex1ece7e99dc

132313422300 has 144 divisors (see below), whose sum is σ = 387754036320. Its totient is φ = 34831319040.

The previous prime is 132313422239. The next prime is 132313422301. The reversal of 132313422300 is 3224313231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313422301) 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, 11896342 + ... + 11907458.

Almost surely, 2132313422300 is an apocalyptic number.

132313422300 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 132313422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193877018160).

132313422300 is an abundant number, since it is smaller than the sum of its proper divisors (255440614020).

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

132313422300 is a wasteful number, since it uses less digits than its factorization.

132313422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132313422300 its reverse (3224313231), we get a palindrome (135537735531).

The spelling of 132313422300 in words is "one hundred thirty-two billion, three hundred thirteen million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 409 485 582 818 970 1164 1227 1455 1636 1940 2045 2425 2454 2910 4090 4850 4908 5820 6135 7275 8180 9700 10225 11117 12270 14550 20450 22234 24540 29100 30675 33351 39673 40900 44468 55585 61350 66702 79346 111170 119019 122700 133404 158692 166755 198365 222340 238038 277925 333510 396730 476076 555850 595095 667020 793460 833775 991825 1078349 1111700 1190190 1667550 1983650 2156698 2380380 2975475 3235047 3335100 3967300 4313396 4546853 5391745 5950950 6470094 9093706 10783490 11901900 12940188 13640559 16175235 18187412 21566980 22734265 26958725 27281118 32350470 45468530 53917450 54562236 64700940 68202795 80876175 90937060 107834900 113671325 136405590 161752350 227342650 272811180 323504700 341013975 441044741 454685300 682027950 882089482 1323134223 1364055900 1764178964 2205223705 2646268446 4410447410 5292536892 6615671115 8820894820 11026118525 13231342230 22052237050 26462684460 33078355575 44104474100 66156711150 132313422300