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10111300001310 = 2353171840157781
BaseRepresentation
bin1001001100100011100001…
…1100011101111000011110
31022210122000212211010202010
42103020320130131320132
52311130420300020220
633301022254212050
72062342303632114
oct223107034357036
938718025733663
1010111300001310
1132491a6282382
121173779ab4026
13584650a90b71
1426d564c33ab4
1512804122b1e0
hex9323871de1e

10111300001310 has 64 divisors (see below), whose sum is σ = 24345416718144. Its totient is φ = 2687648256000.

The previous prime is 10111300001269. The next prime is 10111300001311. The reversal of 10111300001310 is 1310000311101.

10111300001310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101113000013102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111300001311) 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, 174964620 + ... + 175022400.

It is an arithmetic number, because the mean of its divisors is an integer number (380397136221).

Almost surely, 210111300001310 is an apocalyptic number.

10111300001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111300001310 is an abundant number, since it is smaller than the sum of its proper divisors (14234116716834).

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

10111300001310 is a wasteful number, since it uses less digits than its factorization.

10111300001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76509.

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

Adding to 10111300001310 its reverse (1310000311101), we get a palindrome (11421300312411).

The spelling of 10111300001310 in words is "ten trillion, one hundred eleven billion, three hundred million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 317 634 951 1585 1902 3170 4755 9510 18401 36802 55203 57781 92005 110406 115562 173343 184010 276015 288905 346686 552030 577810 866715 1733430 5833117 11666234 17499351 18316577 29165585 34998702 36633154 54949731 58331170 87496755 91582885 109899462 174993510 183165770 274748655 549497310 1063228181 2126456362 3189684543 5316140905 6379369086 10632281810 15948422715 31896845430 337043333377 674086666754 1011130000131 1685216666885 2022260000262 3370433333770 5055650000655 10111300001310