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2125114112 = 28114611637
BaseRepresentation
bin111111010101010…
…1010101100000000
312111002202222112002
41332222222230000
513323012122422
6550512323132
7103443112652
oct17652525400
95432688462
102125114112
119a0631760
124b38434a8
1327b371c94
141623466d2
15c6878692
hex7eaaab00

2125114112 has 72 divisors (see below), whose sum is σ = 4640427792. Its totient is φ = 963276800.

The previous prime is 2125114081. The next prime is 2125114127. The reversal of 2125114112 is 2114115212.

It is a super-2 number, since 2×21251141122 = 9032219978043097088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297358 + ... + 1298994.

It is an arithmetic number, because the mean of its divisors is an integer number (64450386).

Almost surely, 22125114112 is an apocalyptic number.

2125114112 is a gapful number since it is divisible by the number (22) 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 2125114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320213896).

2125114112 is an abundant number, since it is smaller than the sum of its proper divisors (2515313680).

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

2125114112 is a wasteful number, since it uses less digits than its factorization.

2125114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2111 counting only the distinct ones).

The product of its digits is 160, while the sum is 20.

The square root of 2125114112 is about 46098.9599882687. The cubic root of 2125114112 is about 1285.6638077866.

Adding to 2125114112 its reverse (2114115212), we get a palindrome (4239229324).

The spelling of 2125114112 in words is "two billion, one hundred twenty-five million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 461 704 922 1408 1637 1844 2816 3274 3688 5071 6548 7376 10142 13096 14752 18007 20284 26192 29504 36014 40568 52384 59008 72028 81136 104768 118016 144056 162272 209536 288112 324544 419072 576224 649088 754657 1152448 1298176 1509314 2304896 3018628 4609792 6037256 8301227 12074512 16602454 24149024 33204908 48298048 66409816 96596096 132819632 193192192 265639264 531278528 1062557056 2125114112