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130203301313020 = 225132471137253189
BaseRepresentation
bin11101100110101101010001…
…100001011111100111111100
3122002000022110221022001100211
4131212231101201133213330
5114031222330114004040
61140530323150402204
736265610120306665
oct3546552141374774
9562008427261324
10130203301313020
1138539a0121a7a1
121272a332200364
135786170826200
142421c328bc36c
15100bd4777e8ea
hex766b5185f9fc

130203301313020 has 144 divisors (see below), whose sum is σ = 305053156356480. Its totient is φ = 46635793870848.

The previous prime is 130203301313011. The next prime is 130203301313069. The reversal of 130203301313020 is 20313103302031.

It is a junction number, because it is equal to n+sod(n) for n = 130203301312982 and 130203301313000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14324586 + ... + 21577774.

It is an arithmetic number, because the mean of its divisors is an integer number (2118424696920).

Almost surely, 2130203301313020 is an apocalyptic number.

130203301313020 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 130203301313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152526578178240).

130203301313020 is an abundant number, since it is smaller than the sum of its proper divisors (174849855043460).

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

130203301313020 is a wasteful number, since it uses less digits than its factorization.

130203301313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253384 (or 7253369 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 130203301313020 its reverse (20313103302031), we get a palindrome (150516404615051).

The spelling of 130203301313020 in words is "one hundred thirty trillion, two hundred three billion, three hundred one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 113 130 169 188 226 235 260 338 452 470 565 611 676 845 940 1130 1222 1469 1690 2260 2444 2938 3055 3380 5311 5876 6110 7345 7943 10622 12220 14690 15886 19097 21244 26555 29380 31772 38194 39715 53110 69043 76388 79430 95485 106220 138086 158860 190970 276172 345215 381940 690430 897559 1380860 1795118 3590236 4487795 7253189 8975590 14506378 17951180 29012756 36265945 72531890 94291457 145063780 188582914 340899883 377165828 471457285 681799766 819610357 942914570 1225788941 1363599532 1639220714 1704499415 1885829140 2451577882 3278441428 3408998830 4098051785 4431698479 4903155764 6128944705 6817997660 8196103570 8863396958 10654934641 12257889410 16392207140 17726793916 21309869282 22158492395 24515778820 38521686779 42619738564 44316984790 53274673205 57612080227 77043373558 88633969580 106549346410 115224160454 138514150333 154086747116 192608433895 213098692820 230448320908 277028300666 288060401135 385216867790 500781928127 554056601332 576120802270 692570751665 770433735580 1001563856254 1152241604540 1385141503330 2003127712508 2503909640635 2770283006660 5007819281270 6510165065651 10015638562540 13020330131302 26040660262604 32550825328255 65101650656510 130203301313020