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1072117381 is a prime number
BaseRepresentation
bin111111111001110…
…011011010000101
32202201101012120011
4333321303122011
54143430224011
6254215110221
735365563436
oct7771633205
92681335504
101072117381
11500200725
1225b072371
1314116a6aa
14a256148d
15641c9621
hex3fe73685

1072117381 has 2 divisors, whose sum is σ = 1072117382. Its totient is φ = 1072117380.

The previous prime is 1072117369. The next prime is 1072117399. The reversal of 1072117381 is 1837112701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 704053156 + 368064225 = 26534^2 + 19185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072117381 - 25 = 1072117349 is a prime.

It is a super-2 number, since 2×10721173812 = 2298871357284598322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072117681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536058690 + 536058691.

It is an arithmetic number, because the mean of its divisors is an integer number (536058691).

Almost surely, 21072117381 is an apocalyptic number.

It is an amenable number.

1072117381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072117381 is an equidigital number, since it uses as much as digits as its factorization.

1072117381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 1072117381 is about 32743.2035848663. The cubic root of 1072117381 is about 1023.4833428430.

The spelling of 1072117381 in words is "one billion, seventy-two million, one hundred seventeen thousand, three hundred eighty-one".