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130311020302230 = 23571239464955061
BaseRepresentation
bin11101101000010001100110…
…000100110100111110010110
3122002101121112001120200011210
4131220101212010310332112
5114040003432144132410
61141052020054242250
736306442363515135
oct3550214604647626
9562347461520153
10130311020302230
1138580658839719
1212747195056386
135793379599291
142427130b7791c
15100ea4e4a7220
hex768466134f96

130311020302230 has 128 divisors (see below), whose sum is σ = 318552611328000. Its totient is φ = 34108868326400.

The previous prime is 130311020302223. The next prime is 130311020302241. The reversal of 130311020302230 is 32203020113031.

It is a junction number, because it is equal to n+sod(n) for n = 130311020302197 and 130311020302206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2366638900 + ... + 2366693960.

It is an arithmetic number, because the mean of its divisors is an integer number (2488692276000).

Almost surely, 2130311020302230 is an apocalyptic number.

130311020302230 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 130311020302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159276305664000).

130311020302230 is an abundant number, since it is smaller than the sum of its proper divisors (188241591025770).

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

130311020302230 is a wasteful number, since it uses less digits than its factorization.

130311020302230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60030.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130311020302230 its reverse (32203020113031), we get a palindrome (162514040415261).

The spelling of 130311020302230 in words is "one hundred thirty trillion, three hundred eleven billion, twenty million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 239 355 426 478 710 717 1065 1195 1434 2130 2390 3585 4649 7170 9298 13947 16969 23245 27894 33938 46490 50907 55061 69735 84845 101814 110122 139470 165183 169690 254535 275305 330079 330366 509070 550610 660158 825915 990237 1111111 1650395 1651830 1980474 2222222 3300790 3333333 3909331 4951185 5555555 6666666 7818662 9902370 11111110 11727993 13159579 16666665 19546655 23455986 26319158 33333330 39093310 39478737 58639965 65797895 78888881 78957474 117279930 131595790 157777762 197393685 236666643 255978589 394444405 394787370 473333286 511957178 767935767 788888810 934330109 1183333215 1279892945 1535871534 1868660218 2366666430 2559785890 2802990327 3839678835 4671650545 5605980654 7679357670 9343301090 14014951635 18174479819 28029903270 36348959638 54523439457 61178882771 90872399095 109046878914 122357765542 181744798190 183536648313 272617197285 305894413855 367073296626 545234394570 611788827710 917683241565 1835366483130 4343700676741 8687401353482 13031102030223 21718503383705 26062204060446 43437006767410 65155510151115 130311020302230