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212401621275 = 35217417162601
BaseRepresentation
bin1100010111010000011…
…1111000100100011011
3202022020122010022122220
43011310013320210123
511434444303340100
6241324223515123
721226336664154
oct3056407704433
9668218108586
10212401621275
11820961a5888
12351b8a58aa3
131704c74220c
14a3cd1a692b
1557d20c8aa0
hex31741f891b

212401621275 has 24 divisors (see below), whose sum is σ = 351193002864. Its totient is φ = 113273664000.

The previous prime is 212401621259. The next prime is 212401621291. The reversal of 212401621275 is 572126104212.

212401621275 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 (212401621259) and next prime (212401621291).

It is not a de Polignac number, because 212401621275 - 24 = 212401621259 is a prime.

It is a super-2 number, since 2×2124016212752 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1224975 + ... + 1387575.

It is an arithmetic number, because the mean of its divisors is an integer number (14633041786).

Almost surely, 2212401621275 is an apocalyptic number.

212401621275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212401621275 is a deficient number, since it is larger than the sum of its proper divisors (138791381589).

212401621275 is a wasteful number, since it uses less digits than its factorization.

212401621275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180031 (or 180026 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 212401621275 its reverse (572126104212), we get a palindrome (784527725487).

The spelling of 212401621275 in words is "two hundred twelve billion, four hundred one million, six hundred twenty-one thousand, two hundred seventy-five".

Divisors: 1 3 5 15 25 75 17417 52251 87085 162601 261255 435425 487803 813005 1306275 2439015 4065025 12195075 2832021617 8496064851 14160108085 42480324255 70800540425 212401621275