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114031320030 = 23257117845277
BaseRepresentation
bin110101000110011001…
…0111101101111011110
3101220100001001020211100
41222030302331233132
53332014004220110
6124215114533530
711144542141035
oct1521462755736
9356301036740
10114031320030
11443a6786561
121a124a372a6
13a9a3766384
14573a76b71c
152e75ea7bc0
hex1a8ccbdbde

114031320030 has 48 divisors (see below), whose sum is σ = 300657243744. Its totient is φ = 29980063680.

The previous prime is 114031320001. The next prime is 114031320097. The reversal of 114031320030 is 30023130411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114031319985 and 114031320012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8916249 + ... + 8929028.

It is an arithmetic number, because the mean of its divisors is an integer number (6263692578).

Almost surely, 2114031320030 is an apocalyptic number.

114031320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114031320030 is an abundant number, since it is smaller than the sum of its proper divisors (186625923714).

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

114031320030 is a wasteful number, since it uses less digits than its factorization.

114031320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17845361 (or 17845358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 114031320030 its reverse (30023130411), we get a palindrome (144054450441).

The spelling of 114031320030 in words is "one hundred fourteen billion, thirty-one million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 17845277 35690554 53535831 89226385 107071662 160607493 178452770 267679155 321214986 535358310 803037465 1267014667 1606074930 2534029334 3801044001 6335073335 7602088002 11403132003 12670146670 19005220005 22806264006 38010440010 57015660015 114031320030