Search a number
-
+
106731021417 = 3591039158031
BaseRepresentation
bin110001101100110101…
…0100010010001101001
3101012111021020122210020
41203121222202101221
53222041120141132
6121010452111053
710465615466436
oct1433152422151
9335437218706
10106731021417
114129a974119
1218828005489
13a0ac189757
145246da0b8d
152b9a12152c
hex18d9aa2469

106731021417 has 16 divisors (see below), whose sum is σ = 144736450560. Its totient is φ = 69940077200.

The previous prime is 106731021413. The next prime is 106731021431. The reversal of 106731021417 is 714120137601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106731021417 - 22 = 106731021413 is a prime.

It is a super-2 number, since 2×1067310214172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106731021413) 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, 1810192 + ... + 1868222.

It is an arithmetic number, because the mean of its divisors is an integer number (9046028160).

Almost surely, 2106731021417 is an apocalyptic number.

It is an amenable number.

106731021417 is a deficient number, since it is larger than the sum of its proper divisors (38005429143).

106731021417 is a wasteful number, since it uses less digits than its factorization.

106731021417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68484.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 106731021417 in words is "one hundred six billion, seven hundred thirty-one million, twenty-one thousand, four hundred seventeen".

Divisors: 1 3 59 177 10391 31173 58031 174093 613069 1839207 3423829 10271487 603000121 1809000363 35577007139 106731021417