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106203511617 = 3710150072377
BaseRepresentation
bin110001011101000111…
…0001111101101000001
3101011010111122101101020
41202322032033231001
53220001044332432
6120442245500053
710446551645130
oct1427216175501
9334114571336
10106203511617
114104a128205
12186bb411629
13a026ac1c88
1451d6cc7917
152b68b7222c
hex18ba38fb41

106203511617 has 16 divisors (see below), whose sum is σ = 163436241792. Its totient is φ = 60086851200.

The previous prime is 106203511577. The next prime is 106203511619. The reversal of 106203511617 is 716115302601.

It is not a de Polignac number, because 106203511617 - 223 = 106195123009 is a prime.

It is a super-2 number, since 2×1062035116172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106203511619) 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, 25034068 + ... + 25038309.

It is an arithmetic number, because the mean of its divisors is an integer number (10214765112).

Almost surely, 2106203511617 is an apocalyptic number.

It is an amenable number.

106203511617 is a deficient number, since it is larger than the sum of its proper divisors (57232730175).

106203511617 is a wasteful number, since it uses less digits than its factorization.

106203511617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50072488.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 106203511617 in words is "one hundred six billion, two hundred three million, five hundred eleven thousand, six hundred seventeen".

Divisors: 1 3 7 21 101 303 707 2121 50072377 150217131 350506639 1051519917 5057310077 15171930231 35401170539 106203511617