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130534142420 = 225111977973779
BaseRepresentation
bin111100110010001110…
…0001111000111010100
3110110221011000111021102
41321210130033013110
54114313220024140
6135544435405232
712300520621613
oct1714434170724
9413834014242
10130534142420
11503a5136250
122136b753818
13c403752236
1464643cb87a
1535debc2e15
hex1e6470f1d4

130534142420 has 96 divisors (see below), whose sum is σ = 301016580480. Its totient is φ = 47154275840.

The previous prime is 130534142419. The next prime is 130534142441. The reversal of 130534142420 is 24241435031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34540091 + ... + 34543869.

It is an arithmetic number, because the mean of its divisors is an integer number (3135589380).

Almost surely, 2130534142420 is an apocalyptic number.

130534142420 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 130534142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150508290240).

130534142420 is an abundant number, since it is smaller than the sum of its proper divisors (170482438060).

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

130534142420 is a wasteful number, since it uses less digits than its factorization.

130534142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 130534142420 its reverse (24241435031), we get a palindrome (154775577451).

The spelling of 130534142420 in words is "one hundred thirty billion, five hundred thirty-four million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 797 985 1594 1970 2167 3188 3779 3940 3985 4334 7558 7970 8668 8767 10835 15116 15940 17534 18895 21670 35068 37790 41569 43340 43835 75580 83138 87670 157009 166276 175340 207845 314018 415690 628036 744463 785045 831380 1488926 1570090 1727099 2977852 3011863 3140180 3454198 3722315 6023726 6908396 7444630 8189093 8635495 12047452 14889260 15059315 16378186 17270990 30118630 32756372 33130493 34541980 40945465 60237260 66260986 81890930 132521972 163781860 165652465 331304930 593337011 662609860 1186674022 2373348044 2966685055 5933370110 6526707121 11866740220 13053414242 26106828484 32633535605 65267071210 130534142420