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10014110310 = 2353779114199
BaseRepresentation
bin10010101001110001…
…10011001001100110
3221211220022111211110
421110320303021212
5131002103012220
64333405045450
7503105350611
oct112470631146
927756274743
1010014110310
114279782326
121b35856886
13c378bab79
146add97178
153d9248be0
hex254e33266

10014110310 has 64 divisors (see below), whose sum is σ = 24996096000. Its totient is φ = 2565343872.

The previous prime is 10014110299. The next prime is 10014110383. The reversal of 10014110310 is 1301141001.

It is a super-2 number, since 2×100141103102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30591 + ... + 144789.

It is an arithmetic number, because the mean of its divisors is an integer number (390564000).

Almost surely, 210014110310 is an apocalyptic number.

10014110310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014110310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498048000).

10014110310 is an abundant number, since it is smaller than the sum of its proper divisors (14981985690).

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

10014110310 is a wasteful number, since it uses less digits than its factorization.

10014110310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114325.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10014110310 its reverse (1301141001), we get a palindrome (11315251311).

The spelling of 10014110310 in words is "ten billion, fourteen million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 79 111 158 185 222 237 370 395 474 555 790 1110 1185 2370 2923 5846 8769 14615 17538 29230 43845 87690 114199 228398 342597 570995 685194 1141990 1712985 3425970 4225363 8450726 9021721 12676089 18043442 21126815 25352178 27065163 42253630 45108605 54130326 63380445 90217210 126760890 135325815 270651630 333803677 667607354 1001411031 1669018385 2002822062 3338036770 5007055155 10014110310