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10111130310 = 2355940913967
BaseRepresentation
bin10010110101010101…
…11001101011000110
3222002122212122020210
421122222321223012
5131201422132220
64351152340250
7505364122011
oct113252715306
928078778223
1010111130310
114319518946
121b62244686
13c51a2a158
146bcc10378
153e2a106e0
hex25aab9ac6

10111130310 has 64 divisors (see below), whose sum is σ = 24740121600. Its totient is φ = 2643931392.

The previous prime is 10111130299. The next prime is 10111130317. The reversal of 10111130310 is 1303111101.

It is a super-2 number, since 2×101111303102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111130317) 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, 716947 + ... + 730913.

It is an arithmetic number, because the mean of its divisors is an integer number (386564400).

Almost surely, 210111130310 is an apocalyptic number.

10111130310 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 10111130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370060800).

10111130310 is an abundant number, since it is smaller than the sum of its proper divisors (14628991290).

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

10111130310 is a wasteful number, since it uses less digits than its factorization.

10111130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14445.

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

Adding to 10111130310 its reverse (1303111101), we get a palindrome (11414241411).

The spelling of 10111130310 in words is "ten billion, one hundred eleven million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 409 590 818 885 1227 1770 2045 2454 4090 6135 12270 13967 24131 27934 41901 48262 69835 72393 83802 120655 139670 144786 209505 241310 361965 419010 723930 824053 1648106 2472159 4120265 4944318 5712503 8240530 11425006 12360795 17137509 24721590 28562515 34275018 57125030 85687545 171375090 337037677 674075354 1011113031 1685188385 2022226062 3370376770 5055565155 10111130310