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13212210023200 = 255273226236473
BaseRepresentation
bin1100000001000011010100…
…0101011100101100100000
31201210002000122002122210101
43000100311011130230200
53212432101231220300
644033334441512144
72532356611133566
oct300206505345440
951702018078711
1013212210023200
1142342a3131061
1215947464a2654
1374aba17c5696
1433968d995a36
1517da2ea15b6a
hexc043515cb20

13212210023200 has 72 divisors (see below), whose sum is σ = 32696147695428. Its totient is φ = 5212488314880.

The previous prime is 13212210023107. The next prime is 13212210023209. The reversal of 13212210023200 is 232001221231.

It can be written as a sum of positive squares in 6 ways, for example, as 8578127176336 + 4634082846864 = 2928844^2 + 2152692^2 .

It is not an unprimeable number, because it can be changed into a prime (13212210023209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113059837 + ... + 113176636.

Almost surely, 213212210023200 is an apocalyptic number.

13212210023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212210023200 is an abundant number, since it is smaller than the sum of its proper divisors (19483937672228).

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

13212210023200 is a wasteful number, since it uses less digits than its factorization.

13212210023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226236566 (or 226236553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13212210023200 its reverse (232001221231), we get a palindrome (13444211244431).

The spelling of 13212210023200 in words is "thirteen trillion, two hundred twelve billion, two hundred ten million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 365 400 584 730 800 1168 1460 1825 2336 2920 3650 5840 7300 11680 14600 29200 58400 226236473 452472946 904945892 1131182365 1809891784 2262364730 3619783568 4524729460 5655911825 7239567136 9049458920 11311823650 16515262529 18098917840 22623647300 33030525058 36197835680 45247294600 66061050116 82576312645 90494589200 132122100232 165152625290 180989178400 264244200464 330305250580 412881563225 528488400928 660610501160 825763126450 1321221002320 1651526252900 2642442004640 3303052505800 6606105011600 13212210023200