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106968869601 = 31131310356169
BaseRepresentation
bin110001110011111010…
…1110110101011100001
3101020002211210121011020
41203213311312223201
53223033012311401
6121050230040053
710504534250406
oct1434765665341
9336084717136
10106968869601
1141402157a70
12188937a9029
13a119536019
14526a7d62ad
152bb0e54d36
hex18e7d76ae1

106968869601 has 16 divisors (see below), whose sum is σ = 156088194240. Its totient is φ = 64622488320.

The previous prime is 106968869597. The next prime is 106968869611.

106968869601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106968869601 - 22 = 106968869597 is a prime.

It is a super-2 number, since 2×1069688696012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106968869611) 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, 5167756 + ... + 5188413.

It is an arithmetic number, because the mean of its divisors is an integer number (9755512140).

Almost surely, 2106968869601 is an apocalyptic number.

106968869601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106968869601 is a deficient number, since it is larger than the sum of its proper divisors (49119324639).

106968869601 is a wasteful number, since it uses less digits than its factorization.

106968869601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356496.

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 106968869601 in words is "one hundred six billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, six hundred one".

Divisors: 1 3 11 33 313 939 3443 10329 10356169 31068507 113917859 341753577 3241480897 9724442691 35656289867 106968869601