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10211010315 = 3511228120021
BaseRepresentation
bin10011000001001111…
…11010011100001011
3222100121211001212020
421200213322130023
5131403004312230
64405121215523
7511016104242
oct114047723413
928317731766
1010211010315
11436a938200
121b8b7915a3
13c6962b14c
146cc1ad959
153eb68e810
hex2609fa70b

10211010315 has 48 divisors (see below), whose sum is σ = 18022683168. Its totient is φ = 4932928000.

The previous prime is 10211010311. The next prime is 10211010347. The reversal of 10211010315 is 51301011201.

10211010315 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 10211010315 - 22 = 10211010311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 10211010294 and 10211010303.

It is not an unprimeable number, because it can be changed into a prime (10211010311) 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, 500005 + ... + 520025.

It is an arithmetic number, because the mean of its divisors is an integer number (375472566).

Almost surely, 210211010315 is an apocalyptic number.

10211010315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10211010315 is a deficient number, since it is larger than the sum of its proper divisors (7811672853).

10211010315 is a wasteful number, since it uses less digits than its factorization.

10211010315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20332 (or 20321 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10211010315 its reverse (51301011201), we get a palindrome (61512021516).

The spelling of 10211010315 in words is "ten billion, two hundred eleven million, ten thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 33 55 121 165 281 363 605 843 1405 1815 3091 4215 9273 15455 20021 34001 46365 60063 100105 102003 170005 220231 300315 510015 660693 1101155 2422541 3303465 5625901 7267623 12112705 16877703 28129505 36338115 61884911 84388515 185654733 309424555 680734021 928273665 2042202063 3403670105 10211010315