Search a number
-
+
220312230330000 = 243547343741011
BaseRepresentation
bin110010000101111101110000…
…001110100111111010010000
31001220001122101010112201200110
4302011331300032213322100
5212334043421431030000
62100322012535121320
764256014306344624
oct6205756016477220
91056048333481613
10220312230330000
116421a98a547626
1220861ba0213240
1395c147b17c573
143c5925143b184
151a70c601a0850
hexc85f703a7e90

220312230330000 has 100 divisors (see below), whose sum is σ = 711197254566128. Its totient is φ = 58749928080000.

The previous prime is 220312230329993. The next prime is 220312230330007. The reversal of 220312230330000 is 33032213022.

220312230330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220312230329993) and next prime (220312230330007).

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

It is not an unprimeable number, because it can be changed into a prime (220312230330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3671840506 + ... + 3671900505.

Almost surely, 2220312230330000 is an apocalyptic number.

220312230330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220312230330000 is an abundant number, since it is smaller than the sum of its proper divisors (490885024236128).

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

220312230330000 is an equidigital number, since it uses as much as digits as its factorization.

220312230330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343741042 (or 7343741021 counting only the distinct ones).

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

Adding to 220312230330000 its reverse (33032213022), we get a palindrome (220345262543022).

The spelling of 220312230330000 in words is "two hundred twenty trillion, three hundred twelve billion, two hundred thirty million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 7343741011 14687482022 22031223033 29374964044 36718705055 44062446066 58749928088 73437410110 88124892132 110156115165 117499856176 146874820220 176249784264 183593525275 220312230330 293749640440 352499568528 367187050550 440624460660 550780575825 587499280880 734374101100 881248921320 917967626375 1101561151650 1468748202200 1762497842640 1835935252750 2203122303300 2753902879125 2937496404400 3671870505500 4406244606600 4589838131875 5507805758250 7343741011000 8812489213200 9179676263750 11015611516500 13769514395625 14687482022000 18359352527500 22031223033000 27539028791250 36718705055000 44062446066000 55078057582500 73437410110000 110156115165000 220312230330000