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10114114304 = 2872806291
BaseRepresentation
bin10010110101101100…
…10010001100000000
3222002212111020112002
421122312102030000
5131203203124204
64351340323132
7505431360500
oct113266221400
928085436462
1010114114304
114320176858
121b632434a8
13c52533428
146bd389a00
153e2dee91e
hex25ad92300

10114114304 has 54 divisors (see below), whose sum is σ = 23484867084. Its totient is φ = 4334615040.

The previous prime is 10114114291. The next prime is 10114114313. The reversal of 10114114304 is 40341141101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390602 + ... + 415689.

It is an arithmetic number, because the mean of its divisors is an integer number (434904946).

Almost surely, 210114114304 is an apocalyptic number.

10114114304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10114114304 is an abundant number, since it is smaller than the sum of its proper divisors (13370752780).

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

10114114304 is an frugal number, since it uses more digits than its factorization.

10114114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806321 (or 806300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10114114304 its reverse (40341141101), we get a palindrome (50455255405).

The spelling of 10114114304 in words is "ten billion, one hundred fourteen million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 806291 1612582 3225164 5644037 6450328 11288074 12900656 22576148 25801312 39508259 45152296 51602624 79016518 90304592 103205248 158033036 180609184 206410496 316066072 361218368 632132144 722436736 1264264288 1444873472 2528528576 5057057152 10114114304