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106214301231 = 3231937975843
BaseRepresentation
bin110001011101011011…
…1011001111000101111
3101011011020221112221120
41202322313121320233
53220011330114411
6120443313032023
710450042443543
oct1427267317057
9334136845846
10106214301231
1141055227645
1218702b55613
13a0290cc06c
1451d84d5a23
152b69aa4106
hex18badd9e2f

106214301231 has 16 divisors (see below), whose sum is σ = 148542118656. Its totient is φ = 67379913216.

The previous prime is 106214301227. The next prime is 106214301269. The reversal of 106214301231 is 132103412601.

It is a happy number.

It is not a de Polignac number, because 106214301231 - 22 = 106214301227 is a prime.

It is a super-2 number, since 2×1062143012312 (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 (106214301031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3974605 + ... + 4001238.

It is an arithmetic number, because the mean of its divisors is an integer number (9283882416).

Almost surely, 2106214301231 is an apocalyptic number.

106214301231 is a deficient number, since it is larger than the sum of its proper divisors (42327817425).

106214301231 is a wasteful number, since it uses less digits than its factorization.

106214301231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976062.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 106214301231 its reverse (132103412601), we get a palindrome (238317713832).

The spelling of 106214301231 in words is "one hundred six billion, two hundred fourteen million, three hundred one thousand, two hundred thirty-one".

Divisors: 1 3 23 69 193 579 4439 13317 7975843 23927529 183444389 550333167 1539337699 4618013097 35404767077 106214301231