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10500310314 = 2331329515783
BaseRepresentation
bin10011100011101111…
…00000010100101010
31000002210012000212000
421301313200110222
5133001034412224
64453534031430
7521131110414
oct116167402452
930083160760
1010500310314
1144a917360a
122050648576
13cb4550890
147187999b4
15416c880c9
hex271de052a

10500310314 has 64 divisors (see below), whose sum is σ = 25995513600. Its totient is φ = 3119449536.

The previous prime is 10500310273. The next prime is 10500310333. The reversal of 10500310314 is 41301300501.

10500310314 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105003103142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 237534 + ... + 278249.

It is an arithmetic number, because the mean of its divisors is an integer number (406179900).

Almost surely, 210500310314 is an apocalyptic number.

10500310314 is an abundant number, since it is smaller than the sum of its proper divisors (15495203286).

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

10500310314 is a wasteful number, since it uses less digits than its factorization.

10500310314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515836 (or 515830 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10500310314 its reverse (41301300501), we get a palindrome (51801610815).

The spelling of 10500310314 in words is "ten billion, five hundred million, three hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 6786 10179 20358 515783 1031566 1547349 3094698 4642047 6705179 9284094 13410358 13926141 14957707 20115537 27852282 29915414 40231074 44873121 60346611 89746242 120693222 134619363 181039833 194450191 269238726 362079666 388900382 403858089 583350573 807716178 1166701146 1750051719 3500103438 5250155157 10500310314