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106214230343 = 13291012789459
BaseRepresentation
bin110001011101011011…
…1001000100101000111
3101011011020210221201002
41202322313020211013
53220011320332333
6120443311323515
710450042030064
oct1427267104507
9334136727632
10106214230343
1141055189361
1218702b2059b
13a0290a5a10
1451d84b7c6b
152b69a8d0e8
hex18badc8947

106214230343 has 16 divisors (see below), whose sum is σ = 119500466400. Its totient is φ = 93725788800.

The previous prime is 106214230337. The next prime is 106214230373. The reversal of 106214230343 is 343032412601.

It is a cyclic number.

It is not a de Polignac number, because 106214230343 - 26 = 106214230279 is a prime.

It is a super-2 number, since 2×1062142303432 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106214230313) 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 15 ways as a sum of consecutive naturals, for example, 1356653 + ... + 1432806.

It is an arithmetic number, because the mean of its divisors is an integer number (7468779150).

Almost surely, 2106214230343 is an apocalyptic number.

106214230343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106214230343 is a deficient number, since it is larger than the sum of its proper divisors (13286236057).

106214230343 is a wasteful number, since it uses less digits than its factorization.

106214230343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789602.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 106214230343 its reverse (343032412601), we get a palindrome (449246642944).

The spelling of 106214230343 in words is "one hundred six billion, two hundred fourteen million, two hundred thirty thousand, three hundred forty-three".

Divisors: 1 13 29 101 377 1313 2929 38077 2789459 36262967 80894311 281735359 1051626043 3662559667 8170325411 106214230343