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331240001 = 2925494481
BaseRepresentation
bin10011101111100…
…101001001000001
3212002021201212012
4103233211021001
51134244140001
652511342305
711131331201
oct2357451101
9762251765
10331240001
1115aa81574
1292b21995
1353818301
1431dc6401
151e1302bb
hex13be5241

331240001 has 8 divisors (see below), whose sum is σ = 342873000. Its totient is φ = 319621120.

The previous prime is 331239971. The next prime is 331240033. The reversal of 331240001 is 100042133.

It is a Cunningham number, because it is equal to 182002+1.

It can be written as a sum of positive squares in 4 ways, for example, as 173712400 + 157527601 = 13180^2 + 12551^2 .

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

It is a 2-Lehmer number, since φ(331240001) divides (331240001-1)2.

It is a cyclic number.

It is not a de Polignac number, because 331240001 - 210 = 331238977 is a prime.

It is a deceptive number, since it divides R331240000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331240901) 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, 71681 + ... + 76161.

It is an arithmetic number, because the mean of its divisors is an integer number (42859125).

It is a Poulet number, since it divides 2331240000-1.

Almost surely, 2331240001 is an apocalyptic number.

It is an amenable number.

331240001 is a deficient number, since it is larger than the sum of its proper divisors (11632999).

331240001 is a wasteful number, since it uses less digits than its factorization.

331240001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 331240001 is about 18200.0000274725. Note that the first 4 decimals coincide. The cubic root of 331240001 is about 691.9067897943.

Adding to 331240001 its reverse (100042133), we get a palindrome (431282134).

The spelling of 331240001 in words is "three hundred thirty-one million, two hundred forty thousand, one".

Divisors: 1 29 2549 4481 73921 129949 11422069 331240001