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114512153325 = 352231313131619
BaseRepresentation
bin110101010100101110…
…1001100101011101101
3101221120112211010002220
41222221131030223231
53334010102401300
6124334532505553
711162501146263
oct1525135145355
9357515733086
10114512153325
1144623141749
121a239a7b2b9
13aa4c26a40b
145784574433
152ea32d6da0
hex1aa974caed

114512153325 has 96 divisors (see below), whose sum is σ = 199825781760. Its totient is φ = 57750950400.

The previous prime is 114512153293. The next prime is 114512153363. The reversal of 114512153325 is 523351215411.

It is not a de Polignac number, because 114512153325 - 25 = 114512153293 is a prime.

It is a super-2 number, since 2×1145121533252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70729366 + ... + 70730984.

It is an arithmetic number, because the mean of its divisors is an integer number (2081518560).

Almost surely, 2114512153325 is an apocalyptic number.

114512153325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114512153325 is a deficient number, since it is larger than the sum of its proper divisors (85313628435).

114512153325 is a wasteful number, since it uses less digits than its factorization.

114512153325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2094 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

Adding to 114512153325 its reverse (523351215411), we get a palindrome (637863368736).

The spelling of 114512153325 in words is "one hundred fourteen billion, five hundred twelve million, one hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 131 313 345 393 575 655 939 1565 1619 1725 1965 3013 3275 4695 4857 7199 7825 8095 9039 9825 15065 21597 23475 24285 35995 37237 40475 41003 45195 75325 107985 111711 121425 123009 179975 186185 205015 212089 225975 506747 539925 558555 615045 636267 930925 943069 1025075 1060445 1520241 2533735 2792775 2829207 3075225 3181335 4715345 4878047 5302225 7601205 11655181 12668675 14146035 14634141 15906675 23576725 24390235 34965543 38006025 58275905 66383857 70730175 73170705 121951175 174827715 199151571 291379525 331919285 365853525 874138575 995757855 1526828711 1659596425 4580486133 4978789275 7634143555 22902430665 38170717775 114512153325