Search a number
-
+
107142862581 = 3283171431377
BaseRepresentation
bin110001111001000110…
…1100101011011110101
3101020112222012100122200
41203302031211123311
53223412033100311
6121115403215113
710512046206516
oct1436215453365
9336488170580
10107142862581
1141491397517
1218921b17499
13a1465b5951
145285968a0d
152bc1373556
hex18f23656f5

107142862581 has 12 divisors (see below), whose sum is σ = 154780628652. Its totient is φ = 71419936896.

The previous prime is 107142862573. The next prime is 107142862583. The reversal of 107142862581 is 185268241701.

107142862581 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 2 + 8 + 62 + 581 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106243402500 + 899460081 = 325950^2 + 29991^2 .

It is not a de Polignac number, because 107142862581 - 23 = 107142862573 is a prime.

It is a super-2 number, since 2×1071428625812 (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 (107142862583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640836 + ... + 790541.

It is an arithmetic number, because the mean of its divisors is an integer number (12898385721).

Almost surely, 2107142862581 is an apocalyptic number.

It is an amenable number.

107142862581 is a deficient number, since it is larger than the sum of its proper divisors (47637766071).

107142862581 is a wasteful number, since it uses less digits than its factorization.

107142862581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439700 (or 1439697 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 107142862581 in words is "one hundred seven billion, one hundred forty-two million, eight hundred sixty-two thousand, five hundred eighty-one".

Divisors: 1 3 9 8317 24951 74853 1431377 4294131 12882393 11904762509 35714287527 107142862581