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106113620305 = 57111716212929
BaseRepresentation
bin110001011010011011…
…1010101100101010001
3101010220020111102200101
41202310313111211101
53214310041322210
6120425315052401
710444410614260
oct1426467254521
9333806442611
10106113620305
1141003410570
12186952a1101
13a0112aa654
1451c8da85d7
152b60d17a3a
hex18b4dd5951

106113620305 has 32 divisors (see below), whose sum is σ = 168095658240. Its totient is φ = 62257643520.

The previous prime is 106113620303. The next prime is 106113620309. The reversal of 106113620305 is 503026311601.

It is not a de Polignac number, because 106113620305 - 21 = 106113620303 is a prime.

It is a super-2 number, since 2×1061136203052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106113620303) 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 31 ways as a sum of consecutive naturals, for example, 8099920 + ... + 8113009.

It is an arithmetic number, because the mean of its divisors is an integer number (5252989320).

Almost surely, 2106113620305 is an apocalyptic number.

It is an amenable number.

106113620305 is a deficient number, since it is larger than the sum of its proper divisors (61982037935).

106113620305 is a wasteful number, since it uses less digits than its factorization.

106113620305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212969.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 106113620305 its reverse (503026311601), we get a palindrome (609139931906).

The spelling of 106113620305 in words is "one hundred six billion, one hundred thirteen million, six hundred twenty thousand, three hundred five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 595 935 1309 6545 16212929 81064645 113490503 178342219 275619793 567452515 891711095 1248395533 1378098965 1929338551 3031817723 6241977665 9646692755 15159088615 21222724061 106113620305