Search a number
-
+
106204365151 = 1943541240283
BaseRepresentation
bin110001011101001000…
…1100000000101011111
3101011010120020202012121
41202322101200011133
53220001304141101
6120442320043411
710446562131433
oct1427221400537
9334116222177
10106204365151
114104a660505
12186bb763567
13a027030621
1451d706a9c3
152b68c900a1
hex18ba46015f

106204365151 has 16 divisors (see below), whose sum is σ = 114605856640. Its totient is φ = 98092723680.

The previous prime is 106204365109. The next prime is 106204365173. The reversal of 106204365151 is 151563402601.

It is a cyclic number.

It is not a de Polignac number, because 106204365151 - 215 = 106204332383 is a prime.

It is a super-2 number, since 2×1062043651512 (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 (106204369151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321856 + ... + 562138.

It is an arithmetic number, because the mean of its divisors is an integer number (7162866040).

Almost surely, 2106204365151 is an apocalyptic number.

106204365151 is a deficient number, since it is larger than the sum of its proper divisors (8401491489).

106204365151 is a wasteful number, since it uses less digits than its factorization.

106204365151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240886.

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 106204365151 its reverse (151563402601), we get a palindrome (257767767752).

The spelling of 106204365151 in words is "one hundred six billion, two hundred four million, three hundred sixty-five thousand, one hundred fifty-one".

Divisors: 1 19 43 541 817 10279 23263 240283 441997 4565377 10332169 129993103 196311211 2469868957 5589703429 106204365151