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10202122413 = 3273110151721
BaseRepresentation
bin10011000000001100…
…00000100010101101
3222100000002111221200
421200012000202231
5131343220404123
64404202520113
7510550416060
oct114006004255
928300074850
1010202122413
11436591762a
121b88806039
13c67838832
146cad388d7
153ea9d6143
hex2601808ad

10202122413 has 48 divisors (see below), whose sum is σ = 17557343232. Its totient is φ = 5585760000.

The previous prime is 10202122391. The next prime is 10202122429. The reversal of 10202122413 is 31422120201.

It is a happy number.

It is not a de Polignac number, because 10202122413 - 217 = 10201991341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171393 + ... + 223113.

It is an arithmetic number, because the mean of its divisors is an integer number (365777984).

Almost surely, 210202122413 is an apocalyptic number.

It is an amenable number.

10202122413 is a deficient number, since it is larger than the sum of its proper divisors (7355220819).

10202122413 is a wasteful number, since it uses less digits than its factorization.

10202122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866 (or 51863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10202122413 its reverse (31422120201), we get a palindrome (41624242614).

The spelling of 10202122413 in words is "ten billion, two hundred two million, one hundred twenty-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 31 63 93 101 217 279 303 651 707 909 1953 2121 3131 6363 9393 21917 28179 51721 65751 155163 197253 362047 465489 1086141 1603351 3258423 4810053 5223821 11223457 14430159 15671463 33670371 36566747 47014389 101011113 109700241 161938451 329100723 485815353 1133569157 1457446059 3400707471 10202122413