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10112033140 = 22511101571797
BaseRepresentation
bin10010110101011100…
…10110000101110100
3222002201120111200221
421122232112011310
5131202140030030
64351223544124
7505404602116
oct113256260564
928081514627
1010112033140
114319a85190
121b625bb044
13c51c85081
146bcda73b6
153e2b3ce7a
hex25ab96174

10112033140 has 96 divisors (see below), whose sum is σ = 23465490048. Its totient is φ = 3629760000.

The previous prime is 10112033117. The next prime is 10112033153. The reversal of 10112033140 is 4133021101.

10112033140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12687222 + ... + 12688018.

It is an arithmetic number, because the mean of its divisors is an integer number (244432188).

Almost surely, 210112033140 is an apocalyptic number.

10112033140 is a gapful number since it is divisible by the number (10) 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 10112033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732745024).

10112033140 is an abundant number, since it is smaller than the sum of its proper divisors (13353456908).

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

10112033140 is a wasteful number, since it uses less digits than its factorization.

10112033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10112033140 its reverse (4133021101), we get a palindrome (14245054241).

The spelling of 10112033140 in words is "ten billion, one hundred twelve million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 571 797 1010 1111 1142 1594 2020 2222 2284 2855 3188 3985 4444 5555 5710 6281 7970 8767 11110 11420 12562 15940 17534 22220 25124 31405 35068 43835 57671 62810 80497 87670 115342 125620 160994 175340 230684 288355 321988 402485 455087 576710 634381 804970 885467 910174 1153420 1268762 1609940 1770934 1820348 2275435 2537524 3171905 3541868 4427335 4550870 5005957 6343810 8854670 9101740 10011914 12687620 17709340 20023828 25029785 45963787 50059570 91927574 100119140 183855148 229818935 459637870 505601657 919275740 1011203314 2022406628 2528008285 5056016570 10112033140