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106117216106 = 21121014341593
BaseRepresentation
bin110001011010100010…
…1000011011101101010
3101010220111021010012012
41202311011003131222
53214312001403411
6120425524115522
710444453311536
oct1426505033552
9333814233165
10106117216106
1141005447100
1218696535ba2
13a011c69245
1451c9662bc6
152b612c818b
hex18b514376a

106117216106 has 24 divisors (see below), whose sum is σ = 176694192612. Its totient is φ = 47757512000.

The previous prime is 106117216099. The next prime is 106117216151. The reversal of 106117216106 is 601612711601.

It can be written as a sum of positive squares in 2 ways, for example, as 66147210481 + 39970005625 = 257191^2 + 199925^2 .

It is a super-2 number, since 2×1061172161062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2146355 + ... + 2195238.

Almost surely, 2106117216106 is an apocalyptic number.

106117216106 is a deficient number, since it is larger than the sum of its proper divisors (70576976506).

106117216106 is a wasteful number, since it uses less digits than its factorization.

106117216106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341718 (or 4341707 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

Adding to 106117216106 its reverse (601612711601), we get a palindrome (707729927707).

It can be divided in two parts, 106117 and 216106, that added together give a palindrome (322223).

The spelling of 106117216106 in words is "one hundred six billion, one hundred seventeen million, two hundred sixteen thousand, one hundred six".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 12221 24442 4341593 8683186 47757523 95515046 438500893 525332753 877001786 1050665506 4823509823 9647019646 53058608053 106117216106