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12320213133330 = 2325181175588767
BaseRepresentation
bin1011001101001000010111…
…1011010110100000010010
31121121210121211120200202100
42303102011323112200102
53103323244030231310
642111454444501230
72411051236515624
oct263220573264022
947553554520670
1012320213133330
113a1aa78143373
12146b8a654a816
136b4a390cb1cb
14308431446c14
15165724deaec0
hexb3485ed6812

12320213133330 has 48 divisors (see below), whose sum is σ = 32050242342144. Its totient is φ = 3283575995040.

The previous prime is 12320213133311. The next prime is 12320213133331. The reversal of 12320213133330 is 3333131202321.

12320213133330 is a `hidden beast` number, since 1 + 2 + 320 + 2 + 1 + 3 + 1 + 3 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12320213133294 and 12320213133303.

It is not an unprimeable number, because it can be changed into a prime (12320213133331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37631394 + ... + 37957373.

It is an arithmetic number, because the mean of its divisors is an integer number (667713382128).

Almost surely, 212320213133330 is an apocalyptic number.

12320213133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12320213133330 is an abundant number, since it is smaller than the sum of its proper divisors (19730029208814).

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

12320213133330 is a wasteful number, since it uses less digits than its factorization.

12320213133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75590591 (or 75590588 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12320213133330 its reverse (3333131202321), we get a palindrome (15653344335651).

The spelling of 12320213133330 in words is "twelve trillion, three hundred twenty billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1811 3622 5433 9055 10866 16299 18110 27165 32598 54330 81495 162990 75588767 151177534 226766301 377943835 453532602 680298903 755887670 1133831505 1360597806 2267663010 3401494515 6802989030 136891257037 273782514074 410673771111 684456285185 821347542222 1232021313333 1368912570370 2053368855555 2464042626666 4106737711110 6160106566665 12320213133330