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106230466161 = 32311577193373
BaseRepresentation
bin110001011101111010…
…1000100011001110001
3101011012101100211001200
41202323311010121301
53220024444404121
6120445051321413
710450330030611
oct1427365043161
9334171324050
10106230466161
1141063368596
1218708450269
13a02c56ba01
1451da702a41
152b6b1e8a26
hex18bbd44671

106230466161 has 48 divisors (see below), whose sum is σ = 159671715840. Its totient is φ = 67984375680.

The previous prime is 106230466157. The next prime is 106230466163. The reversal of 106230466161 is 161664032601.

It is a happy number.

106230466161 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 30 + 4 + 6 + 616 + 1 = 666.

It is not a de Polignac number, because 106230466161 - 22 = 106230466157 is a prime.

It is a super-2 number, since 2×1062304661612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106230466163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31492671 + ... + 31496043.

It is an arithmetic number, because the mean of its divisors is an integer number (3326494080).

Almost surely, 2106230466161 is an apocalyptic number.

It is an amenable number.

106230466161 is a deficient number, since it is larger than the sum of its proper divisors (53441249679).

106230466161 is a wasteful number, since it uses less digits than its factorization.

106230466161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 106230466161 its reverse (161664032601), we get a palindrome (267894498762).

The spelling of 106230466161 in words is "one hundred six billion, two hundred thirty million, four hundred sixty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 31 93 157 279 471 719 1413 2157 3373 4867 6471 10119 14601 22289 30357 43803 66867 104563 112883 200601 313689 338649 529561 941067 1015947 1588683 2425187 3499373 4766049 7275561 10498119 16416391 21826683 31494357 49249173 75180797 147747519 225542391 380754359 676627173 1142263077 3426789231 11803385129 35410155387 106230466161