Search a number
-
+
313202132132120 = 235711183581553919
BaseRepresentation
bin100011100110110110000110…
…1110101000010000100011000
31112001221211110002201100001022
41013031230031311002010120
5312023000431311211440
63030043023445542012
7122654051544151220
oct10715541565020430
91461854402640038
10313202132132120
1190883307475880
122b164808414908
131059bab003a82a
14574b0c7b91080
15263218d72ccb5
hex11cdb0dd42118

313202132132120 has 128 divisors (see below), whose sum is σ = 878599366041600. Its totient is φ = 97620735782400.

The previous prime is 313202132132111. The next prime is 313202132132173. The reversal of 313202132132120 is 21231231202313.

It is a self number, because there is not a number n which added to its sum of digits gives 313202132132120.

It is a congruent number.

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, 565152521 + ... + 565706439.

It is an arithmetic number, because the mean of its divisors is an integer number (6864057547200).

Almost surely, 2313202132132120 is an apocalyptic number.

It is an amenable number.

313202132132120 is an abundant number, since it is smaller than the sum of its proper divisors (565397233909480).

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

313202132132120 is a wasteful number, since it uses less digits than its factorization.

313202132132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737529 (or 737525 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 313202132132120 its reverse (21231231202313), we get a palindrome (334433363334433).

The spelling of 313202132132120 in words is "three hundred thirteen trillion, two hundred two billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 183581 367162 553919 734324 917905 1107838 1285067 1468648 1835810 2019391 2215676 2570134 2769595 3671620 3877433 4038782 4431352 5140268 5539190 6093109 6425335 7343240 7754866 8077564 10096955 10280536 11078380 12186218 12850670 14135737 15509732 16155128 19387165 20193910 22156760 24372436 25701340 28271474 30465545 31019464 38774330 40387820 42651763 48744872 51402680 56542948 60931090 70678685 77548660 80775640 85303526 113085896 121862180 141357370 155097320 170607052 213258815 243724360 282714740 341214104 426517630 565429480 853035260 1706070520 101689003939 203378007878 406756015756 508445019695 711823027573 813512031512 1016890039390 1118579043329 1423646055146 2033780078780 2237158086658 2847292110292 3559115137865 4067560157560 4474316173316 5592895216645 5694584220584 7118230275730 7830053303303 8948632346632 11185790433290 14236460551460 15660106606606 22371580866580 28472921102920 31320213213212 39150266516515 44743161733160 62640426426424 78300533033030 156601066066060 313202132132120