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212520401 = 6116972053
BaseRepresentation
bin11001010101011…
…00110111010001
3112210220011011222
430222230313101
5413401123101
633031014425
75160252002
oct1452546721
9483804158
10212520401
11a9a647a5
125b20a415
133504c122
14203211a9
15139ce01b
hexcaacdd1

212520401 has 8 divisors (see below), whose sum is σ = 216236904. Its totient is φ = 208811520.

The previous prime is 212520397. The next prime is 212520433. The reversal of 212520401 is 104025212.

It can be written as a sum of positive squares in 4 ways, for example, as 31348801 + 181171600 = 5599^2 + 13460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212520401 - 22 = 212520397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212520401.

It is not an unprimeable number, because it can be changed into a prime (212520481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102491 + ... + 104543.

It is an arithmetic number, because the mean of its divisors is an integer number (27029613).

Almost surely, 2212520401 is an apocalyptic number.

It is an amenable number.

212520401 is a deficient number, since it is larger than the sum of its proper divisors (3716503).

212520401 is a wasteful number, since it uses less digits than its factorization.

212520401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 212520401 is about 14578.0794688464. The cubic root of 212520401 is about 596.7606920197.

Adding to 212520401 its reverse (104025212), we get a palindrome (316545613).

The spelling of 212520401 in words is "two hundred twelve million, five hundred twenty thousand, four hundred one".

Divisors: 1 61 1697 2053 103517 125233 3483941 212520401