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2112131625 = 35329359541
BaseRepresentation
bin111110111100100…
…1001001000101001
312110012100101220020
41331321021020221
513311201203000
6545330151053
7103224552102
oct17571111051
95405311806
102112131625
1199427482a
124ab422489
13278777a36
141607273a9
15c5661ba0
hex7de49229

2112131625 has 64 divisors (see below), whose sum is σ = 3652646400. Its totient is φ = 1082592000.

The previous prime is 2112131611. The next prime is 2112131633. The reversal of 2112131625 is 5261312112.

It is a happy number.

It is not a de Polignac number, because 2112131625 - 28 = 2112131369 is a prime.

It is a super-2 number, since 2×21121316252 = 8922200002650281250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112131595 and 2112131604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3903855 + ... + 3904395.

It is an arithmetic number, because the mean of its divisors is an integer number (57072600).

Almost surely, 22112131625 is an apocalyptic number.

2112131625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2112131625 is a deficient number, since it is larger than the sum of its proper divisors (1540514775).

2112131625 is a wasteful number, since it uses less digits than its factorization.

2112131625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 2112131625 is about 45957.9332107091. The cubic root of 2112131625 is about 1283.0403849615.

Adding to 2112131625 its reverse (5261312112), we get a palindrome (7373443737).

The spelling of 2112131625 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 125 145 359 375 435 541 725 1077 1623 1795 2175 2705 3625 5385 8115 8975 10411 10875 13525 15689 26925 31233 40575 44875 47067 52055 67625 78445 134625 156165 194219 202875 235335 260275 392225 582657 780825 971095 1176675 1301375 1961125 2913285 3904125 4855475 5632351 5883375 14566425 16897053 24277375 28161755 72832125 84485265 140808775 422426325 704043875 2112131625