Search a number
-
+
107288682381 = 334784545849
BaseRepresentation
bin110001111101011100…
…1110101111110001101
3101020221010120202211000
41203322321311332031
53224211400314011
6121142052450513
710515466516236
oct1437271657615
9336833522730
10107288682381
1141556734051
1218962919a39
13a16a87cc5a
14529b08608d
152bce079356
hex18fae75f8d

107288682381 has 16 divisors (see below), whose sum is σ = 162328032000. Its totient is φ = 70003962144.

The previous prime is 107288682367. The next prime is 107288682407. The reversal of 107288682381 is 183286882701.

107288682381 is a `hidden beast` number, since 107 + 2 + 8 + 86 + 82 + 381 = 666.

It is not a de Polignac number, because 107288682381 - 25 = 107288682349 is a prime.

It is a super-2 number, since 2×1072886823812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107288682301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42271656 + ... + 42274193.

It is an arithmetic number, because the mean of its divisors is an integer number (10145502000).

Almost surely, 2107288682381 is an apocalyptic number.

It is an amenable number.

107288682381 is a deficient number, since it is larger than the sum of its proper divisors (55039349619).

107288682381 is an equidigital number, since it uses as much as digits as its factorization.

107288682381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84545905 (or 84545899 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 107288682381 in words is "one hundred seven billion, two hundred eighty-eight million, six hundred eighty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 27 47 141 423 1269 84545849 253637547 760912641 2282737923 3973654903 11920964709 35762894127 107288682381