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211335512401 = 1362477260201
BaseRepresentation
bin1100010011010010010…
…1000000000101010001
3202012111100001101020001
43010310211000011101
511430303342344101
6241030341250001
721161043134056
oct3046445000521
9665440041201
10211335512401
1181699429472
1234b5ba03901
1316c0c8c9670
14a32b76b02d
15576d6d9901
hex3134940151

211335512401 has 8 divisors (see below), whose sum is σ = 227596607784. Its totient is φ = 195075062400.

The previous prime is 211335512389. The next prime is 211335512407. The reversal of 211335512401 is 104215533112.

It can be written as a sum of positive squares in 4 ways, for example, as 9855724176 + 201479788225 = 99276^2 + 448865^2 .

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 211335512401 - 237 = 73896558929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211335512401.

It is not an unprimeable number, because it can be changed into a prime (211335512407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682101 + ... + 942301.

It is an arithmetic number, because the mean of its divisors is an integer number (28449575973).

Almost surely, 2211335512401 is an apocalyptic number.

It is an amenable number.

211335512401 is a deficient number, since it is larger than the sum of its proper divisors (16261095383).

211335512401 is a wasteful number, since it uses less digits than its factorization.

211335512401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322691.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 211335512401 in words is "two hundred eleven billion, three hundred thirty-five million, five hundred twelve thousand, four hundred one".

Divisors: 1 13 62477 260201 812201 3382613 16256577877 211335512401