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106200810315 = 345262224223
BaseRepresentation
bin110001011101000001…
…1111100001101001011
3101011010022120010220000
41202322003330031023
53214444401412230
6120442111534043
710446516664455
oct1427203741513
9334108503800
10106200810315
1141048652726
12186ba52a323
13a026387582
1451d67c32d5
152b687dbb60
hex18ba0fc34b

106200810315 has 20 divisors (see below), whose sum is σ = 190374786624. Its totient is φ = 56640431952.

The previous prime is 106200810311. The next prime is 106200810319. The reversal of 106200810315 is 513018002601.

106200810315 is a `hidden beast` number, since 1 + 0 + 620 + 0 + 8 + 1 + 0 + 31 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106200810311) and next prime (106200810319).

It is not a de Polignac number, because 106200810315 - 22 = 106200810311 is a prime.

It is a super-2 number, since 2×1062008103152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106200810311) 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 19 ways as a sum of consecutive naturals, for example, 131111707 + ... + 131112516.

Almost surely, 2106200810315 is an apocalyptic number.

106200810315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106200810315 is a deficient number, since it is larger than the sum of its proper divisors (84173976309).

106200810315 is an equidigital number, since it uses as much as digits as its factorization.

106200810315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262224240 (or 262224231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 106200810315 its reverse (513018002601), we get a palindrome (619218812916).

The spelling of 106200810315 in words is "one hundred six billion, two hundred million, eight hundred ten thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 405 262224223 786672669 1311121115 2360018007 3933363345 7080054021 11800090035 21240162063 35400270105 106200810315