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106416000163 = 11292111581007
BaseRepresentation
bin110001100011011100…
…0110100110010100011
3101011200022110220212101
41203012320310302203
53220414444001123
6120515320111231
710455042035224
oct1430670646243
9334608426771
10106416000163
114114906aa80
121875a605517
13a05bb2c745
1452171db24b
152b7c646aad
hex18c6e34ca3

106416000163 has 16 divisors (see below), whose sum is σ = 120662530560. Its totient is φ = 92963152800.

The previous prime is 106416000161. The next prime is 106416000179. The reversal of 106416000163 is 361000614601.

It is a cyclic number.

It is not a de Polignac number, because 106416000163 - 21 = 106416000161 is a prime.

It is a super-2 number, since 2×1064160001632 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106416000161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723195 + ... + 857812.

It is an arithmetic number, because the mean of its divisors is an integer number (7541408160).

Almost surely, 2106416000163 is an apocalyptic number.

106416000163 is a deficient number, since it is larger than the sum of its proper divisors (14246530397).

106416000163 is a wasteful number, since it uses less digits than its factorization.

106416000163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581258.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 106416000163 its reverse (361000614601), we get a palindrome (467416614764).

The spelling of 106416000163 in words is "one hundred six billion, four hundred sixteen million, one hundred sixty-three", and thus it is an aban number.

Divisors: 1 11 29 211 319 2321 6119 67309 1581007 17391077 45849203 333592477 504341233 3669517247 9674181833 106416000163