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212310220132320 = 2535442312958609
BaseRepresentation
bin110000010001100001010011…
…010000001100111111100000
31000211201122210021121201000020
4300101201103100030333200
5210311442312323213240
62031313545121353440
762501623114051632
oct6021412320147740
91024648707551006
10212310220132320
11617152933920a2
121b98b187198880
1391609c9c8052b
143a5dc25c0aa52
151982a21a110d0
hexc1185340cfe0

212310220132320 has 48 divisors (see below), whose sum is σ = 668777193418320. Its totient is φ = 56616058701824.

The previous prime is 212310220132319. The next prime is 212310220132327. The reversal of 212310220132320 is 23231022013212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212310220132327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 221156478825 + ... + 221156479784.

It is an arithmetic number, because the mean of its divisors is an integer number (13932858196215).

Almost surely, 2212310220132320 is an apocalyptic number.

212310220132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212310220132320 is an abundant number, since it is smaller than the sum of its proper divisors (456466973286000).

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

212310220132320 is a wasteful number, since it uses less digits than its factorization.

212310220132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442312958627 (or 442312958619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212310220132320 its reverse (23231022013212), we get a palindrome (235541242145532).

The spelling of 212310220132320 in words is "two hundred twelve trillion, three hundred ten billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 442312958609 884625917218 1326938875827 1769251834436 2211564793045 2653877751654 3538503668872 4423129586090 5307755503308 6634694379135 7077007337744 8846259172180 10615511006616 13269388758270 14154014675488 17692518344360 21231022013232 26538777516540 35385036688720 42462044026464 53077555033080 70770073377440 106155110066160 212310220132320