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10114110104 = 2374710138047
BaseRepresentation
bin10010110101101100…
…10001001010011000
3222002212111000202112
421122312101022120
5131203203010404
64351340251452
7505431342320
oct113266211230
928085430675
1010114110104
11432017368a
121b63240b88
13c52531547
146bd388280
153e2ded56e
hex25ad91298

10114110104 has 64 divisors (see below), whose sum is σ = 22353960960. Its totient is φ = 4200278400.

The previous prime is 10114110079. The next prime is 10114110107. The reversal of 10114110104 is 40101141101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114110107) 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, 246809 + ... + 284855.

It is an arithmetic number, because the mean of its divisors is an integer number (349280640).

Almost surely, 210114110104 is an apocalyptic number.

10114110104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176980480).

10114110104 is an abundant number, since it is smaller than the sum of its proper divisors (12239850856).

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

10114110104 is a wasteful number, since it uses less digits than its factorization.

10114110104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38208 (or 38204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10114110104 its reverse (40101141101), we get a palindrome (50215251205).

The spelling of 10114110104 in words is "ten billion, one hundred fourteen million, one hundred ten thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 47 56 94 101 188 202 329 376 404 658 707 808 1316 1414 2632 2828 4747 5656 9494 18988 33229 37976 38047 66458 76094 132916 152188 265832 266329 304376 532658 1065316 1788209 2130632 3576418 3842747 7152836 7685494 12517463 14305672 15370988 25034926 26899229 30741976 50069852 53798458 100139704 107596916 180609109 215193832 361218218 722436436 1264263763 1444872872 2528527526 5057055052 10114110104