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101000010001110 = 2351137591031361183
BaseRepresentation
bin10110111101101111100101…
…101101111110101011010110
3111020121111200100120001201020
4112331233211231332223112
5101214241010030013420
6554450433011342010
730163003254664113
oct2675574555765326
9436544610501636
10101000010001110
112a1aa955643050
12b3b258abb1906
13444834c5039ac
141ad25d86dd90a
15ba2396d5e340
hex5bdbe5b7ead6

101000010001110 has 256 divisors, whose sum is σ = 278868052869120. Its totient is φ = 23191927810560.

The previous prime is 101000010001097. The next prime is 101000010001117. The reversal of 101000010001110 is 11100010000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010001117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73519579 + ... + 74880761.

It is an arithmetic number, because the mean of its divisors is an integer number (1089328331520).

Almost surely, 2101000010001110 is an apocalyptic number.

101000010001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000010001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139434026434560).

101000010001110 is an abundant number, since it is smaller than the sum of its proper divisors (177868042868010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000010001110 is a wasteful number, since it uses less digits than its factorization.

101000010001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361403.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010001110 its reverse (11100010000101), we get a palindrome (112100020001211).

The spelling of 101000010001110 in words is "one hundred one trillion, ten million, one thousand, one hundred ten".