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2103114112 = 271123101643
BaseRepresentation
bin111110101011010…
…1111100110000000
312102120101021012021
41331112233212000
513301344122422
6544405011224
7103055114011
oct17526574600
95376337167
102103114112
1198a175840
124a83b3b14
1327693b428
1415d45b008
15c497edc7
hex7d5af980

2103114112 has 128 divisors (see below), whose sum is σ = 4824126720. Its totient is φ = 903936000.

The previous prime is 2103114109. The next prime is 2103114119. The reversal of 2103114112 is 2114113012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103114119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3270463 + ... + 3271105.

It is an arithmetic number, because the mean of its divisors is an integer number (37688490).

Almost surely, 22103114112 is an apocalyptic number.

2103114112 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 2103114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412063360).

2103114112 is an abundant number, since it is smaller than the sum of its proper divisors (2721012608).

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

2103114112 is a wasteful number, since it uses less digits than its factorization.

2103114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2103114112 is about 45859.7221099300. The cubic root of 2103114112 is about 1281.2118471066.

Adding to 2103114112 its reverse (2114113012), we get a palindrome (4217227124).

The spelling of 2103114112 in words is "two billion, one hundred three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 101 128 176 184 202 253 352 368 404 506 643 704 736 808 1012 1111 1286 1408 1472 1616 2024 2222 2323 2572 2944 3232 4048 4444 4646 5144 6464 7073 8096 8888 9292 10288 12928 14146 14789 16192 17776 18584 20576 25553 28292 29578 32384 35552 37168 41152 51106 56584 59156 64943 71104 74336 82304 102212 113168 118312 129886 142208 148672 162679 204424 226336 236624 259772 297344 325358 408848 452672 473248 519544 650716 714373 817696 905344 946496 1039088 1301432 1428746 1493689 1635392 1892992 2078176 2602864 2857492 2987378 3270784 4156352 5205728 5714984 5974756 8312704 10411456 11429968 11949512 16430579 20822912 22859936 23899024 32861158 45719872 47798048 65722316 91439744 95596096 131444632 191192192 262889264 525778528 1051557056 2103114112