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1001332130211 = 33744029120331
BaseRepresentation
bin11101001001001000000…
…10111100000110100011
310112201121120001122121000
432210210002330012203
5112401212011131321
62044001114403043
7132225641446410
oct16444402740643
93481546048530
101001332130211
11356731979056
12142094130483
137356b27327a
143667132d107
151b0a86a1826
hexe9240bc1a3

1001332130211 has 32 divisors (see below), whose sum is σ = 1695429747200. Its totient is φ = 572172037920.

The previous prime is 1001332130191. The next prime is 1001332130219. The reversal of 1001332130211 is 1120312331001.

1001332130211 is a `hidden beast` number, since 100 + 1 + 3 + 321 + 30 + 211 = 666.

It is not a de Polignac number, because 1001332130211 - 213 = 1001332122019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001332130219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8261316 + ... + 8381646.

It is an arithmetic number, because the mean of its divisors is an integer number (52982179600).

Almost surely, 21001332130211 is an apocalyptic number.

1001332130211 is a deficient number, since it is larger than the sum of its proper divisors (694097616989).

1001332130211 is a wasteful number, since it uses less digits than its factorization.

1001332130211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164376 (or 164370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001332130211 its reverse (1120312331001), we get a palindrome (2121644461212).

The spelling of 1001332130211 in words is "one trillion, one billion, three hundred thirty-two million, one hundred thirty thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 44029 120331 132087 308203 360993 396261 842317 924609 1082979 1188783 2526951 2773827 3248937 7580853 8321481 22742559 5298053599 15894160797 37086375193 47682482391 111259125579 143047447173 333777376737 1001332130211