Search a number
-
+
331302331020330 = 23254778322064071
BaseRepresentation
bin100101101010100010101010…
…1110000001111010000101010
31121110001012020002012220022200
41023111011111300033100222
5321411024133220122310
63132342104553001030
7126532542416200425
oct11325052560172052
91543035202186280
10331302331020330
119662159091084a
12311a87403b3176
13112b28a2854b67
145bb5192b929bc
152847e0200a9c0
hex12d5155c0f42a

331302331020330 has 48 divisors (see below), whose sum is σ = 879713423656704. Its totient is φ = 86467558733280.

The previous prime is 331302331020319. The next prime is 331302331020407. The reversal of 331302331020330 is 33020133203133.

331302331020330 is a `hidden beast` number, since 3 + 3 + 1 + 302 + 3 + 3 + 1 + 0 + 20 + 330 = 666.

It is a super-2 number, since 2×3313023310203302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331302331020294 and 331302331020303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39161027806 + ... + 39161036265.

It is an arithmetic number, because the mean of its divisors is an integer number (18327362992848).

Almost surely, 2331302331020330 is an apocalyptic number.

331302331020330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331302331020330 is an abundant number, since it is smaller than the sum of its proper divisors (548411092636374).

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

331302331020330 is a wasteful number, since it uses less digits than its factorization.

331302331020330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78322064131 (or 78322064128 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331302331020330 its reverse (33020133203133), we get a palindrome (364322464223463).

The spelling of 331302331020330 in words is "three hundred thirty-one trillion, three hundred two billion, three hundred thirty-one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 78322064071 156644128142 234966192213 391610320355 469932384426 704898576639 783220640710 1174830961065 1409797153278 2349661922130 3524492883195 3681137011337 7048985766390 7362274022674 11043411034011 18405685056685 22086822068022 33130233102033 36811370113370 55217055170055 66260466204066 110434110340110 165651165510165 331302331020330