Search a number
-
+
1310120211300 = 2235231157189671
BaseRepresentation
bin10011000100001001001…
…111111111001101100100
311122020122112022110020220
4103010021033333031210
5132431111233230200
62441505542524340
7163440000024525
oct23041117771544
94566575273226
101310120211300
1146568978278a
12191ab07366b0
139670b983a54
14475a568084c
152412c62b4a0
hex131093ff364

1310120211300 has 144 divisors (see below), whose sum is σ = 3915426729984. Its totient is φ = 337876560000.

The previous prime is 1310120211299. The next prime is 1310120211329. The reversal of 1310120211300 is 31120210131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310120211300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14565465 + ... + 14655135.

Almost surely, 21310120211300 is an apocalyptic number.

1310120211300 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 1310120211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957713364992).

1310120211300 is an abundant number, since it is smaller than the sum of its proper divisors (2605306518684).

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

1310120211300 is a wasteful number, since it uses less digits than its factorization.

1310120211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91290 (or 91283 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1310120211300 its reverse (31120210131), we get a palindrome (1341240421431).

The spelling of 1310120211300 in words is "one trillion, three hundred ten billion, one hundred twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1571 1860 2325 3100 3142 4650 4713 6284 7855 9300 9426 15710 18852 23565 31420 39275 47130 48701 78550 89671 94260 97402 117825 146103 157100 179342 194804 235650 243505 269013 292206 358684 448355 471300 487010 538026 584412 730515 896710 974020 1076052 1217525 1345065 1461030 1793420 2241775 2435050 2690130 2779801 2922060 3652575 4483550 4870100 5380260 5559602 6725325 7305150 8339403 8967100 11119204 13450650 13899005 14610300 16678806 26901300 27798010 33357612 41697015 55596020 69495025 83394030 138990050 140873141 166788060 208485075 277980100 281746282 416970150 422619423 563492564 704365705 833940300 845238846 1408731410 1690477692 2113097115 2817462820 3521828525 4226194230 4367067371 7043657050 8452388460 8734134742 10565485575 13101202113 14087314100 17468269484 21130971150 21835336855 26202404226 42261942300 43670673710 52404808452 65506010565 87341347420 109176684275 131012021130 218353368550 262024042260 327530052825 436706737100 655060105650 1310120211300