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130114413330 = 235112110332497
BaseRepresentation
bin111100100101101101…
…1000110001100010010
3110102211220020001012120
41321023123012030102
54112433242211310
6135435043235110
712254233156626
oct1711333061422
9412756201176
10130114413330
11501aa215600
1221273078a96
13c3677c3925
14642476d186
1535b7e13b70
hex1e4b6c6312

130114413330 has 96 divisors (see below), whose sum is σ = 343565736192. Its totient is φ = 31513320960.

The previous prime is 130114413287. The next prime is 130114413337. The reversal of 130114413330 is 33314411031.

It is a self number, because there is not a number n which added to its sum of digits gives 130114413330.

It is not an unprimeable number, because it can be changed into a prime (130114413337) 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, 3987642 + ... + 4020138.

It is an arithmetic number, because the mean of its divisors is an integer number (3578809752).

Almost surely, 2130114413330 is an apocalyptic number.

130114413330 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 130114413330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171782868096).

130114413330 is an abundant number, since it is smaller than the sum of its proper divisors (213451322862).

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

130114413330 is a wasteful number, since it uses less digits than its factorization.

130114413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33632 (or 33621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130114413330 its reverse (33314411031), we get a palindrome (163428824361).

The spelling of 130114413330 in words is "one hundred thirty billion, one hundred fourteen million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1103 1210 1815 2206 3309 3630 5515 6618 11030 12133 16545 24266 32497 33090 36399 60665 64994 72798 97491 121330 133463 162485 181995 194982 266926 324970 357467 363990 400389 487455 667315 714934 800778 974910 1072401 1334630 1787335 2001945 2144802 3574670 3932137 4003890 5362005 7864274 10724010 11796411 19660685 23592822 35844191 39321370 58982055 71688382 107532573 117964110 179220955 215065146 358441910 394286101 537662865 788572202 1075325730 1182858303 1971430505 2365716606 3942861010 4337147111 5914291515 8674294222 11828583030 13011441333 21685735555 26022882666 43371471110 65057206665 130114413330