Search a number
-
+
106771104400074 = 23232194831726597
BaseRepresentation
bin11000010001101110010101…
…110000000000001011001010
3112000001012212211211020212220
4120101232111300000023022
5102443314210211300244
61015025545045114510
731326646334000052
oct3021562560001312
9460035784736786
10106771104400074
1131025409a0a424
12bb84b569b8a36
134776619b1b98a
141c51a6b484562
15c52564d75319
hex611b95c002ca

106771104400074 has 48 divisors (see below), whose sum is σ = 223241911126752. Its totient is φ = 34041193791264.

The previous prime is 106771104400063. The next prime is 106771104400111. The reversal of 106771104400074 is 470004401177601.

It is a super-2 number, since 2×1067711044000742 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106771104399999 and 106771104400035.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60975744 + ... + 62702340.

It is an arithmetic number, because the mean of its divisors is an integer number (4650873148474).

Almost surely, 2106771104400074 is an apocalyptic number.

106771104400074 is an abundant number, since it is smaller than the sum of its proper divisors (116470806726678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106771104400074 is a wasteful number, since it uses less digits than its factorization.

106771104400074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746131 (or 1746108 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

Adding to 106771104400074 its reverse (470004401177601), we get a palindrome (576775505577675).

The spelling of 106771104400074 in words is "one hundred six trillion, seven hundred seventy-one billion, one hundred four million, four hundred thousand, seventy-four".

Divisors: 1 2 3 6 23 46 69 138 529 1058 1587 3174 19483 38966 58449 116898 448109 896218 1344327 1726597 2688654 3453194 5179791 10306507 10359582 20613014 30919521 39711731 61839042 79423462 119135193 238270386 913369813 1826739626 2740109439 5480218878 33639289351 67278578702 100917868053 201835736106 773703655073 1547407310146 2321110965219 4642221930438 17795184066679 35590368133358 53385552200037 106771104400074