Search a number
-
+
106242020231 = 2925114595689
BaseRepresentation
bin110001011110010000…
…1001001001110000111
3101011020012002211021012
41202330201021032013
53220040424121411
6120450143112435
710450530162134
oct1427441111607
9334205084235
10106242020231
114106993a306
12187102a271b
13a031a85a39
1451dc06d58b
152b6c22c18b
hex18bc849387

106242020231 has 8 divisors (see below), whose sum is σ = 110343416400. Its totient is φ = 102169816000.

The previous prime is 106242020219. The next prime is 106242020249. The reversal of 106242020231 is 132020242601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106242020231 - 218 = 106241758087 is a prime.

It is a super-2 number, since 2×1062420202312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106242020197 and 106242020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106242023231) 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 7 ways as a sum of consecutive naturals, for example, 7290566 + ... + 7305123.

It is an arithmetic number, because the mean of its divisors is an integer number (13792927050).

Almost surely, 2106242020231 is an apocalyptic number.

106242020231 is a deficient number, since it is larger than the sum of its proper divisors (4101396169).

106242020231 is a wasteful number, since it uses less digits than its factorization.

106242020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595969.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 106242020231 its reverse (132020242601), we get a palindrome (238262262832).

The spelling of 106242020231 in words is "one hundred six billion, two hundred forty-two million, twenty thousand, two hundred thirty-one".

Divisors: 1 29 251 7279 14595689 423274981 3663517939 106242020231