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10213100001 = 3313194913119
BaseRepresentation
bin10011000001011111…
…11000100111100001
3222100202202020101000
421200233320213201
5131404023200001
64405234102213
7511042626516
oct114057704741
928322666330
1010213100001
114371035215
121b9041a969
13c69bb0350
146cc59530d
153eb953a86
hex260bf89e1

10213100001 has 64 divisors (see below), whose sum is σ = 17192448000. Its totient is φ = 5940164160.

The previous prime is 10213099999. The next prime is 10213100011. The reversal of 10213100001 is 10000131201.

10213100001 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 10213100001 - 21 = 10213099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10213100011) 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 63 ways as a sum of consecutive naturals, for example, 3272920 + ... + 3276038.

It is an arithmetic number, because the mean of its divisors is an integer number (268632000).

Almost surely, 210213100001 is an apocalyptic number.

It is an amenable number.

10213100001 is a deficient number, since it is larger than the sum of its proper divisors (6979347999).

10213100001 is a wasteful number, since it uses less digits than its factorization.

10213100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10213100001 its reverse (10000131201), we get a palindrome (20213231202).

The spelling of 10213100001 in words is "ten billion, two hundred thirteen million, one hundred thousand, one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 491 513 741 1473 2223 3119 4419 6383 6669 9329 9357 13257 19149 27987 28071 40547 57447 59261 83961 84213 121277 121641 172341 177783 251883 363831 364923 533349 770393 1091493 1094769 1531429 1600047 2311179 3274479 4594287 6933537 13782861 19908577 20800611 29097151 41348583 59725731 87291453 179177193 261874359 378262963 537531579 785623077 1134788889 3404366667 10213100001