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130275341430 = 235135312749627
BaseRepresentation
bin111100101010100000…
…0111111010001110110
3110110021010001001001120
41321111000333101312
54113300441411210
6135503032404410
712261226063023
oct1712500772166
9413233031046
10130275341430
1150282041233
12212b8b46706
13c391c4a960
14643bca054a
1535c7101270
hex1e5503f476

130275341430 has 128 divisors (see below), whose sum is σ = 345772965888. Its totient is φ = 31214356992.

The previous prime is 130275341393. The next prime is 130275341431. The reversal of 130275341430 is 34143572031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130275341391 and 130275341400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130275341431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600277 + ... + 2649903.

It is an arithmetic number, because the mean of its divisors is an integer number (2701351296).

Almost surely, 2130275341430 is an apocalyptic number.

130275341430 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 130275341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172886482944).

130275341430 is an abundant number, since it is smaller than the sum of its proper divisors (215497624458).

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

130275341430 is a wasteful number, since it uses less digits than its factorization.

130275341430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49830.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 130275341430 in words is "one hundred thirty billion, two hundred seventy-five million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 127 130 159 195 254 265 318 381 390 530 635 689 762 795 1270 1378 1590 1651 1905 2067 3302 3445 3810 4134 4953 6731 6890 8255 9906 10335 13462 16510 20193 20670 24765 33655 40386 49530 49627 67310 87503 99254 100965 148881 175006 201930 248135 262509 297762 437515 496270 525018 645151 744405 875030 1290302 1312545 1488810 1935453 2625090 2630231 3225755 3870906 5260462 6302629 6451510 7890693 9677265 12605258 13151155 15781386 18907887 19354530 26302310 31513145 34193003 37815774 39453465 63026290 68386006 78906930 81934177 94539435 102579009 163868354 170965015 189078870 205158018 245802531 334039337 341930030 409670885 491605062 512895045 668078674 819341770 1002118011 1025790090 1229012655 1670196685 2004236022 2458025310 3340393370 4342511381 5010590055 8685022762 10021180110 13027534143 21712556905 26055068286 43425113810 65137670715 130275341430