Search a number
-
+
31202691663 = 311131572831637
BaseRepresentation
bin11101000011110100…
…110100101001001111
32222112120100222011210
4131003310310221033
51002400342113123
622200113545503
72153142334353
oct350364645117
988476328153
1031202691663
1112262119090
126069875293
132c335bc780
141720079463
15c294e6e93
hex743d34a4f

31202691663 has 64 divisors (see below), whose sum is σ = 49392225792. Its totient is φ = 17273018880.

The previous prime is 31202691647. The next prime is 31202691677. The reversal of 31202691663 is 36619620213.

It is not a de Polignac number, because 31202691663 - 24 = 31202691647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202691683) 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 in 63 ways as a sum of consecutive naturals, for example, 19060081 + ... + 19061717.

It is an arithmetic number, because the mean of its divisors is an integer number (771753528).

Almost surely, 231202691663 is an apocalyptic number.

31202691663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

31202691663 is a deficient number, since it is larger than the sum of its proper divisors (18189534129).

31202691663 is a wasteful number, since it uses less digits than its factorization.

31202691663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 31202691663 in words is "thirty-one billion, two hundred two million, six hundred ninety-one thousand, six hundred sixty-three".

Divisors: 1 3 11 13 33 39 143 157 283 429 471 849 1637 1727 2041 3113 3679 4911 5181 6123 9339 11037 18007 21281 22451 40469 44431 54021 63843 67353 121407 133293 234091 257009 463271 488741 577603 702273 771027 1389813 1466223 1732809 2827099 3341117 5095981 6022523 6353633 8481297 10023351 15287943 18067569 19060899 36752287 66247753 72733547 110256861 198743259 218200641 800069017 945536111 2400207051 2836608333 10400897221 31202691663