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10130111310 = 2351173341879
BaseRepresentation
bin10010110111100110…
…10011101101001110
3222010222120222021210
421123303103231032
5131221302030220
64353111235250
7506014345134
oct113363235516
928128528253
1010130111310
114329202620
121b68678b26
13c55944807
146c1551754
153e450e6e0
hex25bcd3b4e

10130111310 has 64 divisors (see below), whose sum is σ = 26559290880. Its totient is φ = 2452375680.

The previous prime is 10130111293. The next prime is 10130111311. The reversal of 10130111310 is 1311103101.

It is a super-2 number, since 2×101301113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130111311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220951 + ... + 262829.

It is an arithmetic number, because the mean of its divisors is an integer number (414988920).

Almost surely, 210130111310 is an apocalyptic number.

10130111310 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 10130111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279645440).

10130111310 is an abundant number, since it is smaller than the sum of its proper divisors (16429179570).

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

10130111310 is a wasteful number, since it uses less digits than its factorization.

10130111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42633.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10130111310 its reverse (1311103101), we get a palindrome (11441214411).

The spelling of 10130111310 in words is "ten billion, one hundred thirty million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 733 1466 2199 3665 4398 7330 8063 10995 16126 21990 24189 40315 41879 48378 80630 83758 120945 125637 209395 241890 251274 418790 460669 628185 921338 1256370 1382007 2303345 2764014 4606690 6910035 13820070 30697307 61394614 92091921 153486535 184183842 306973070 337670377 460459605 675340754 920919210 1013011131 1688351885 2026022262 3376703770 5065055655 10130111310