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215527134001 = 157229572
BaseRepresentation
bin1100100010111001101…
…0110001001100110001
3202121022110022211002111
43020232122301030301
512012344421242001
6243002314245321
721366651261154
oct3105632611461
9677273284074
10215527134001
118344a4a2853
123592b726841
131742a13092a
14a608321c9b
1559166b1851
hex322e6b1331

215527134001 has 9 divisors (see below), whose sum is σ = 216982041249. Its totient is φ = 214081926864.

The previous prime is 215527133971. The next prime is 215527134059. The reversal of 215527134001 is 100431725512.

The square root of 215527134001 is 464249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59438927601 + 156088206400 = 243801^2 + 395080^2 .

It is not a de Polignac number, because 215527134001 - 29 = 215527133489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215527134061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72885615 + ... + 72888571.

Almost surely, 2215527134001 is an apocalyptic number.

215527134001 is the 464249-th square number.

215527134001 is the 232125-th centered octagonal number.

It is an amenable number.

215527134001 is a deficient number, since it is larger than the sum of its proper divisors (1454907248).

215527134001 is an frugal number, since it uses more digits than its factorization.

215527134001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 215527134001 its reverse (100431725512), we get a palindrome (315958859513).

The spelling of 215527134001 in words is "two hundred fifteen billion, five hundred twenty-seven million, one hundred thirty-four thousand, one".

Divisors: 1 157 2957 24649 464249 8743849 72887093 1372784293 215527134001