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213222311010020 = 225136911186810147
BaseRepresentation
bin110000011110110010110000…
…000110110001111011100100
31000221221212001110112000100202
4300132302300012301323210
5210421413243104310040
62033252551042330032
762624542431435524
oct6036626006617344
91027855043460322
10213222311010020
1161a3708a9642a4
121bab7ab4659918
1391c8a1566c730
143a9202cd09684
15199b605760015
hexc1ecb01b1ee4

213222311010020 has 48 divisors (see below), whose sum is σ = 482908301980608. Its totient is φ = 78614304071040.

The previous prime is 213222311010001. The next prime is 213222311010041. The reversal of 213222311010020 is 20010113222312.

It is a super-2 number, since 2×2132223110100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213222311009974 and 213222311010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593225414 + ... + 593584733.

It is an arithmetic number, because the mean of its divisors is an integer number (10060589624596).

Almost surely, 2213222311010020 is an apocalyptic number.

213222311010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213222311010020 is an abundant number, since it is smaller than the sum of its proper divisors (269685990970588).

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

213222311010020 is a wasteful number, since it uses less digits than its factorization.

213222311010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186810860 (or 1186810858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213222311010020 its reverse (20010113222312), we get a palindrome (233232424232332).

The spelling of 213222311010020 in words is "two hundred thirteen trillion, two hundred twenty-two billion, three hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 691 1382 2764 3455 6910 8983 13820 17966 35932 44915 89830 179660 1186810147 2373620294 4747240588 5934050735 11868101470 15428531911 23736202940 30857063822 61714127644 77142659555 154285319110 308570638220 820085811577 1640171623154 3280343246308 4100429057885 8200858115770 10661115550501 16401716231540 21322231101002 42644462202004 53305577752505 106611155505010 213222311010020