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13422420210 = 2351767735381
BaseRepresentation
bin11001000000000100…
…11110000011110010
31021122102122121001110
430200002132003302
5204442114421320
610055521014150
7653422455303
oct144002360362
937572577043
1013422420210
115768673a71
122727184356
13135ba631a4
149148c87aa
155385935e0
hex32009e0f2

13422420210 has 128 divisors (see below), whose sum is σ = 35098562304. Its totient is φ = 3272417280.

The previous prime is 13422420203. The next prime is 13422420217. The reversal of 13422420210 is 1202422431.

It is an interprime number because it is at equal distance from previous prime (13422420203) and next prime (13422420217).

It is a super-2 number, since 2×134224202102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13422420217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2491720 + ... + 2497100.

It is an arithmetic number, because the mean of its divisors is an integer number (274207518).

Almost surely, 213422420210 is an apocalyptic number.

13422420210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13422420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549281152).

13422420210 is an abundant number, since it is smaller than the sum of its proper divisors (21676142094).

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

13422420210 is a wasteful number, since it uses less digits than its factorization.

13422420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13422420210 its reverse (1202422431), we get a palindrome (14624842641).

The spelling of 13422420210 in words is "thirteen billion, four hundred twenty-two million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 73 85 102 134 146 170 201 219 255 335 365 402 438 510 670 730 1005 1095 1139 1241 2010 2190 2278 2482 3417 3723 4891 5381 5695 6205 6834 7446 9782 10762 11390 12410 14673 16143 17085 18615 24455 26905 29346 32286 34170 37230 48910 53810 73365 80715 83147 91477 146730 161430 166294 182954 249441 274431 360527 392813 415735 457385 498882 548862 721054 785626 831470 914770 1081581 1178439 1247205 1372155 1802635 1964065 2163162 2356878 2494410 2744310 3605270 3928130 5407905 5892195 6128959 6677821 10815810 11784390 12257918 13355642 18386877 20033463 26318471 30644795 33389105 36773754 40066926 52636942 61289590 66778210 78955413 91934385 100167315 131592355 157910826 183868770 200334630 263184710 394777065 447414007 789554130 894828014 1342242021 2237070035 2684484042 4474140070 6711210105 13422420210