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5120405130 = 2352341473851
BaseRepresentation
bin1001100010011001…
…10010111010001010
3111012211221112100110
410301030302322022
540441310431010
62204032015150
7240613503561
oct46114627212
914184845313
105120405130
112198376185
12baa9914b6
13637a98029
14368084bd8
151ee7dc120
hex131332e8a

5120405130 has 128 divisors (see below), whose sum is σ = 13419012096. Its totient is φ = 1246784000.

The previous prime is 5120405063. The next prime is 5120405131. The reversal of 5120405130 is 315040215.

It is a junction number, because it is equal to n+sod(n) for n = 5120405097 and 5120405106.

It is not an unprimeable number, because it can be changed into a prime (5120405131) 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, 1327705 + ... + 1331555.

It is an arithmetic number, because the mean of its divisors is an integer number (104836032).

Almost surely, 25120405130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120405130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709506048).

5120405130 is an abundant number, since it is smaller than the sum of its proper divisors (8298606966).

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

5120405130 is a wasteful number, since it uses less digits than its factorization.

5120405130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5120405130 is about 71557.0061559314. The cubic root of 5120405130 is about 1723.5932105206.

Adding to 5120405130 its reverse (315040215), we get a palindrome (5435445345).

The spelling of 5120405130 in words is "five billion, one hundred twenty million, four hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 47 69 82 94 115 123 138 141 205 230 235 246 282 345 410 470 615 690 705 943 1081 1230 1410 1886 1927 2162 2829 3243 3851 3854 4715 5405 5658 5781 6486 7702 9430 9635 10810 11553 11562 14145 16215 19255 19270 23106 28290 28905 32430 38510 44321 57765 57810 88573 88642 115530 132963 157891 177146 180997 221605 265719 265926 315782 361994 442865 443210 473673 531438 542991 664815 789455 885730 904985 947346 1085982 1328595 1329630 1578910 1809970 2368365 2657190 2714955 3631493 4162931 4736730 5429910 7262986 7420877 8325862 10894479 12488793 14841754 18157465 20814655 21788958 22262631 24977586 36314930 37104385 41629310 44525262 54472395 62443965 74208770 108944790 111313155 124887930 170680171 222626310 341360342 512040513 853400855 1024081026 1706801710 2560202565 5120405130