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106756650311 = 19479105111161
BaseRepresentation
bin110001101101100110…
…0010011010101000111
3101012120001110202000112
41203123030103111013
53222114200302221
6121013205303235
710466346361313
oct1433314232507
9335501422015
10106756650311
1141303389523
1218834704b1b
13a0b4590c8c
14524a552b43
152b9c4d515b
hex18db313547

106756650311 has 16 divisors (see below), whose sum is σ = 112727270400. Its totient is φ = 100821672000.

The previous prime is 106756650263. The next prime is 106756650367. The reversal of 106756650311 is 113056657601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106756650311 - 226 = 106689541447 is a prime.

It is a super-2 number, since 2×1067566503112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106756650211) 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, 9559571 + ... + 9570731.

It is an arithmetic number, because the mean of its divisors is an integer number (7045454400).

Almost surely, 2106756650311 is an apocalyptic number.

106756650311 is a deficient number, since it is larger than the sum of its proper divisors (5970620089).

106756650311 is a wasteful number, since it uses less digits than its factorization.

106756650311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710.

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 106756650311 in words is "one hundred six billion, seven hundred fifty-six million, six hundred fifty thousand, three hundred eleven".

Divisors: 1 19 479 1051 9101 11161 19969 212059 503429 5346119 9565151 11730211 101576261 222874009 5618771069 106756650311