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132303312030 = 23537437139041
BaseRepresentation
bin111101100110111100…
…1000101010010011110
3110122111110000121201210
41323031321011102132
54131424121441110
6140440155045250
712362412411531
oct1731571052236
9418443017653
10132303312030
115112285259a
1221784140826
13c626139366
14659135aa18
15369518b520
hex1ecde4549e

132303312030 has 128 divisors (see below), whose sum is σ = 338402313216. Its totient is φ = 33055948800.

The previous prime is 132303312023. The next prime is 132303312139. The reversal of 132303312030 is 30213303231.

It is a junction number, because it is equal to n+sod(n) for n = 132303311988 and 132303312006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3369310 + ... + 3408350.

It is an arithmetic number, because the mean of its divisors is an integer number (2643768072).

Almost surely, 2132303312030 is an apocalyptic number.

132303312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132303312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169201156608).

132303312030 is an abundant number, since it is smaller than the sum of its proper divisors (206099001186).

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

132303312030 is a wasteful number, since it uses less digits than its factorization.

132303312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39202.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132303312030 its reverse (30213303231), we get a palindrome (162516615261).

The spelling of 132303312030 in words is "one hundred thirty-two billion, three hundred three million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 43 71 74 86 111 129 142 185 213 215 222 258 355 370 426 430 555 645 710 1065 1110 1290 1591 2130 2627 3053 3182 4773 5254 6106 7881 7955 9159 9546 13135 15265 15762 15910 18318 23865 26270 30530 39041 39405 45795 47730 78082 78810 91590 112961 117123 195205 225922 234246 338883 390410 564805 585615 677766 1129610 1171230 1444517 1678763 1694415 2771911 2889034 3357526 3388830 4333551 5036289 5543822 7222585 8315733 8393815 8667102 10072578 13859555 14445170 16631466 16787630 21667755 25181445 27719110 41578665 43335510 50362890 62114231 83157330 102560707 119192173 124228462 186342693 205121414 238384346 307682121 310571155 357576519 372685386 512803535 595960865 615364242 621142310 715153038 931713465 1025607070 1191921730 1538410605 1787882595 1863426930 3076821210 3575765190 4410110401 8820220802 13230331203 22050552005 26460662406 44101104010 66151656015 132303312030