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1100013130101 = 34710777599397
BaseRepresentation
bin10000000000011101111…
…001000101000101110101
310220011022210202211211210
4100000131321011011311
5121010311330130401
62201201122552033
7142321231221504
oct20003571050565
93804283684753
101100013130101
11394570809916
12159234208619
137c966724772
143b35312483b
151d931be64d6
hex1001de45175

1100013130101 has 32 divisors (see below), whose sum is σ = 1512244961280. Its totient is φ = 710863926336.

The previous prime is 1100013130079. The next prime is 1100013130127. The reversal of 1100013130101 is 1010313100011.

It is not a de Polignac number, because 1100013130101 - 215 = 1100013097333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013130171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117055335 + ... + 117064731.

It is an arithmetic number, because the mean of its divisors is an integer number (47257655040).

Almost surely, 21100013130101 is an apocalyptic number.

It is an amenable number.

1100013130101 is a deficient number, since it is larger than the sum of its proper divisors (412231831179).

1100013130101 is a wasteful number, since it uses less digits than its factorization.

1100013130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1100013130101 its reverse (1010313100011), we get a palindrome (2110326230112).

The spelling of 1100013130101 in words is "one trillion, one hundred billion, thirteen million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 47 107 141 321 5029 7759 9397 15087 23277 28191 364673 441659 830213 1005479 1094019 1324977 2490639 3016437 39020011 47257513 72911323 117060033 141772539 218733969 3426832181 7801511561 10280496543 23404534683 366671043367 1100013130101