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10213101315 = 32510110721001
BaseRepresentation
bin10011000001011111…
…11000111100000011
3222100202202022011200
421200233320330003
5131404023220230
64405234112243
7511042633404
oct114057707403
928322668150
1010213101315
1143710361aa
121b9041b683
13c69bb0b21
146cc5959ab
153eb954160
hex260bf8f03

10213101315 has 48 divisors (see below), whose sum is σ = 18045926496. Its totient is φ = 5342400000.

The previous prime is 10213101307. The next prime is 10213101319. The reversal of 10213101315 is 51310131201.

10213101315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10213101315 - 23 = 10213101307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475815 + ... + 496815.

It is an arithmetic number, because the mean of its divisors is an integer number (375956802).

Almost surely, 210213101315 is an apocalyptic number.

10213101315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10213101315 is a deficient number, since it is larger than the sum of its proper divisors (7832825181).

10213101315 is a wasteful number, since it uses less digits than its factorization.

10213101315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10213101315 its reverse (51310131201), we get a palindrome (61523232516).

The spelling of 10213101315 in words is "ten billion, two hundred thirteen million, one hundred one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 101 107 303 321 505 535 909 963 1515 1605 4545 4815 10807 21001 32421 54035 63003 97263 105005 162105 189009 315015 486315 945045 2121101 2247107 6363303 6741321 10605505 11235535 19089909 20223963 31816515 33706605 95449545 101119815 226957807 680873421 1134789035 2042620263 3404367105 10213101315