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12334303020 = 223513107147787
BaseRepresentation
bin10110111110010111…
…01000011100101100
31011211121011111212210
423133023220130230
5200230040144040
65355530530420
7614440563054
oct133713503454
934747144783
1012334303020
11525a435466
122482896a10
1312174b3070
148501a0564
154c2ca8480
hex2df2e872c

12334303020 has 96 divisors (see below), whose sum is σ = 37540516608. Its totient is φ = 3007740672.

The previous prime is 12334302973. The next prime is 12334303031. The reversal of 12334303020 is 2030343321.

It is a super-2 number, since 2×123343030202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9567 + ... + 157353.

It is an arithmetic number, because the mean of its divisors is an integer number (391047048).

Almost surely, 212334303020 is an apocalyptic number.

12334303020 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 12334303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770258304).

12334303020 is an abundant number, since it is smaller than the sum of its proper divisors (25206213588).

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

12334303020 is a wasteful number, since it uses less digits than its factorization.

12334303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147919 (or 147917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12334303020 its reverse (2030343321), we get a palindrome (14364646341).

The spelling of 12334303020 in words is "twelve billion, three hundred thirty-four million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 195 214 260 321 390 428 535 642 780 1070 1284 1391 1605 2140 2782 3210 4173 5564 6420 6955 8346 13910 16692 20865 27820 41730 83460 147787 295574 443361 591148 738935 886722 1477870 1773444 1921231 2216805 2955740 3842462 4433610 5763693 7684924 8867220 9606155 11527386 15813209 19212310 23054772 28818465 31626418 38424620 47439627 57636930 63252836 79066045 94879254 115273860 158132090 189758508 205571717 237198135 316264180 411143434 474396270 616715151 822286868 948792540 1027858585 1233430302 2055717170 2466860604 3083575755 4111434340 6167151510 12334303020