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114110130 = 23523592803
BaseRepresentation
bin1101100110100…
…10111010110010
321221201101200010
412303102322302
5213203011010
615153435350
72553630411
oct663227262
9257641603
10114110130
11594596a2
123226bb56
131a8440b4
1411225478
15a040620
hex6cd2eb2

114110130 has 64 divisors (see below), whose sum is σ = 290718720. Its totient is φ = 28602816.

The previous prime is 114110111. The next prime is 114110131. The reversal of 114110130 is 31011411.

It is a super-2 number, since 2×1141101302 = 26042243537233800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114110131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39309 + ... + 42111.

It is an arithmetic number, because the mean of its divisors is an integer number (4542480).

Almost surely, 2114110130 is an apocalyptic number.

114110130 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 114110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145359360).

114110130 is an abundant number, since it is smaller than the sum of its proper divisors (176608590).

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

114110130 is a wasteful number, since it uses less digits than its factorization.

114110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895.

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

The square root of 114110130 is about 10682.2343168459. The cubic root of 114110130 is about 485.0368484420.

Adding to 114110130 its reverse (31011411), we get a palindrome (145121541).

The spelling of 114110130 in words is "one hundred fourteen million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2714 2803 4071 5606 6785 8142 8409 13570 14015 16818 20355 28030 40710 42045 64469 84090 128938 165377 193407 322345 330754 386814 496131 644690 826885 967035 992262 1653770 1934070 2480655 3803671 4961310 7607342 11411013 19018355 22822026 38036710 57055065 114110130