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232221300130000 = 245430713756101
BaseRepresentation
bin110100110011010000111100…
…000110101000000011010000
31010110020010202200102001211201
4310303100330012220003100
5220414203210313130000
62141520554215320544
766625302204414346
oct6463207406500320
91113203680361751
10232221300130000
1167aa1555a21305
1222066063680154
139c764b410b47c
14414b7dc77d996
151bca92024e96a
hexd3343c1a80d0

232221300130000 has 100 divisors (see below), whose sum is σ = 562250039322708. Its totient is φ = 92885372800000.

The previous prime is 232221300129997. The next prime is 232221300130021. The reversal of 232221300130000 is 31003122232.

It can be written as a sum of positive squares in 10 ways, for example, as 139967733993616 + 92253566136384 = 11830796^2 + 9604872^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 232221300130000.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 306751950 + ... + 307508050.

Almost surely, 2232221300130000 is an apocalyptic number.

232221300130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232221300130000 is an abundant number, since it is smaller than the sum of its proper divisors (330028739192708).

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

232221300130000 is an equidigital number, since it uses as much as digits as its factorization.

232221300130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786842 (or 786821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 232221300130000 its reverse (31003122232), we get a palindrome (232252303252232).

The spelling of 232221300130000 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, three hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 30713 61426 122852 153565 245704 307130 491408 614260 756101 767825 1228520 1512202 1535650 2457040 3024404 3071300 3780505 3839125 6048808 6142600 7561010 7678250 12097616 12285200 15122020 15356500 18902525 19195625 30244040 30713000 37805050 38391250 60488080 61426000 75610100 76782500 94512625 151220200 153565000 189025250 302440400 307130000 378050500 472563125 756101000 945126250 1512202000 1890252500 3780505000 7561010000 23222130013 46444260026 92888520052 116110650065 185777040104 232221300130 371554080208 464442600260 580553250325 928885200520 1161106500650 1857770401040 2322213001300 2902766251625 4644426002600 5805532503250 9288852005200 11611065006500 14513831258125 23222130013000 29027662516250 46444260026000 58055325032500 116110650065000 232221300130000