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106343131260 = 22352397415839
BaseRepresentation
bin110001100001010001…
…0110110100001111100
3101011111020100210112010
41203002202312201330
53220242320200020
6120504154211220
710453165462362
oct1430242664174
9334436323463
10106343131260
1141110a1a543
121873a123b10
13a0499c8152
14520b66d632
152b76050de0
hex18c28b687c

106343131260 has 48 divisors (see below), whose sum is σ = 299006668800. Its totient is φ = 28239511104.

The previous prime is 106343131249. The next prime is 106343131291. The reversal of 106343131260 is 62131343601.

It is a super-2 number, since 2×1063431312602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 3693580 + ... + 3722259.

It is an arithmetic number, because the mean of its divisors is an integer number (6229305600).

Almost surely, 2106343131260 is an apocalyptic number.

106343131260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106343131260 is an abundant number, since it is smaller than the sum of its proper divisors (192663537540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106343131260 is a wasteful number, since it uses less digits than its factorization.

106343131260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416090 (or 7416088 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 106343131260 its reverse (62131343601), we get a palindrome (168474474861).

The spelling of 106343131260 in words is "one hundred six billion, three hundred forty-three million, one hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4780 7170 14340 7415839 14831678 22247517 29663356 37079195 44495034 74158390 88990068 111237585 148316780 222475170 444950340 1772385521 3544771042 5317156563 7089542084 8861927605 10634313126 17723855210 21268626252 26585782815 35447710420 53171565630 106343131260