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132213130203030 = 23543373593463363
BaseRepresentation
bin11110000011111101000100…
…101010010000111110010110
3122100010110012100221020200020
4132003331010222100332112
5114312134442312444110
61145105512402530010
736564040422066042
oct3603750452207626
9570113170836606
10132213130203030
1139144301235078
12129b3959966906
1358a084c497416
1424912148ad022
1510442785bad70
hex783f44a90f96

132213130203030 has 128 divisors (see below), whose sum is σ = 326111045939712. Its totient is φ = 34286593517568.

The previous prime is 132213130203001. The next prime is 132213130203047. The reversal of 132213130203030 is 30302031312231.

132213130203030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1322131302030303 (a number of 43 digits) contains 333 as substring.

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, 285102129 + ... + 285565491.

It is an arithmetic number, because the mean of its divisors is an integer number (2547742546404).

Almost surely, 2132213130203030 is an apocalyptic number.

132213130203030 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 132213130203030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163055522969856).

132213130203030 is an abundant number, since it is smaller than the sum of its proper divisors (193897915736682).

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

132213130203030 is a wasteful number, since it uses less digits than its factorization.

132213130203030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464382.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132213130203030 its reverse (30302031312231), we get a palindrome (162515161515261).

The spelling of 132213130203030 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred thirty million, two hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 373 430 593 645 746 1119 1186 1290 1779 1865 2238 2965 3558 3730 5595 5930 8895 11190 16039 17790 25499 32078 48117 50998 76497 80195 96234 127495 152994 160390 221189 240585 254990 382485 442378 463363 481170 663567 764970 926726 1105945 1327134 1390089 2211890 2316815 2780178 3317835 4633630 6635670 6950445 9511127 13900890 19022254 19924609 28533381 39849218 47555635 57066762 59773827 95111270 99623045 119547654 142666905 172834399 199246090 274774259 285333810 298869135 345668798 518503197 549548518 597738270 824322777 864171995 1037006394 1373871295 1648645554 1728343990 2592515985 2747742590 4121613885 5185031970 7431879157 8243227770 11815293137 14863758314 22295637471 23630586274 35445879411 37159395785 44591274942 59076465685 70891758822 74318791570 102490798607 111478187355 118152931370 177229397055 204981597214 222956374710 307472395821 354458794110 512453993035 614944791642 1024907986070 1537361979105 3074723958210 4407104340101 8814208680202 13221313020303 22035521700505 26442626040606 44071043401010 66106565101515 132213130203030