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10310130310120 = 23510111322819901
BaseRepresentation
bin1001011000001000001110…
…1001111001101111101000
31100111122020201010100120121
42112002003221321233220
52322410121324410440
633532224121533024
72112611432443534
oct226020351715750
940448221110517
1010310130310120
113315557859243
1211a6209944174
1359a31996b274
14279027834bc4
1512d2cbb5034a
hex96083a79be8

10310130310120 has 128 divisors (see below), whose sum is σ = 23647546853280. Its totient is φ = 4044902400000.

The previous prime is 10310130310009. The next prime is 10310130310169. The reversal of 10310130310120 is 2101303101301.

It can be written as a sum of positive squares in 16 ways, for example, as 3595885423524 + 6714244886596 = 1896282^2 + 2591186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10310130310094 and 10310130310103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041317170 + ... + 1041327070.

Almost surely, 210310130310120 is an apocalyptic number.

10310130310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310130310120 is an abundant number, since it is smaller than the sum of its proper divisors (13337416543160).

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

10310130310120 is a wasteful number, since it uses less digits than its factorization.

10310130310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10310130310120 its reverse (2101303101301), we get a palindrome (12411433411421).

The spelling of 10310130310120 in words is "ten trillion, three hundred ten billion, one hundred thirty million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 113 202 226 404 452 505 565 808 904 1010 1130 2020 2260 2281 4040 4520 4562 9124 9901 11405 11413 18248 19802 22810 22826 39604 45620 45652 49505 57065 79208 91240 91304 99010 114130 198020 228260 230381 257753 396040 456520 460762 515506 921524 1000001 1031012 1118813 1151905 1288765 1843048 2000002 2062024 2237626 2303810 2577530 4000004 4475252 4607620 5000005 5155060 5594065 8000008 8950504 9215240 10000010 10310120 11188130 20000020 22376260 22584181 26033053 40000040 44752520 45168362 52066106 90336724 104132212 112920905 113000113 130165265 180673448 208264424 225841810 226000226 260330530 451683620 452000452 520661060 565000565 903367240 904000904 1041322120 1130001130 2260002260 2281002281 2552012453 4520004520 4562004562 5104024906 9124009124 10208049812 11405011405 12760062265 18248018248 20416099624 22810022810 25520124530 45620045620 51040249060 91240091240 102080498120 257753257753 515506515506 1031013031012 1288766288765 2062026062024 2577532577530 5155065155060 10310130310120