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10420214124 = 22317234154167
BaseRepresentation
bin10011011010001011…
…11101100101101100
3222220012110201112110
421231011331211230
5132320033322444
64441553204020
7516136234005
oct115505754554
928805421473
1010420214124
114467a37111
122029860610
13ca0a88798
1470bcaa1ac
1540ec15cb9
hex26d17d96c

10420214124 has 96 divisors (see below), whose sum is σ = 27519077376. Its totient is φ = 3050629120.

The previous prime is 10420214113. The next prime is 10420214149. The reversal of 10420214124 is 42141202401.

It is a self number, because there is not a number n which added to its sum of digits gives 10420214124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165289 + ... + 219455.

It is an arithmetic number, because the mean of its divisors is an integer number (286657056).

Almost surely, 210420214124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759538688).

10420214124 is an abundant number, since it is smaller than the sum of its proper divisors (17098863252).

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

10420214124 is a wasteful number, since it uses less digits than its factorization.

10420214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54255 (or 54253 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10420214124 its reverse (42141202401), we get a palindrome (52561416525).

The spelling of 10420214124 in words is "ten billion, four hundred twenty million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 23 34 41 46 51 68 69 82 92 102 123 138 164 204 246 276 391 492 697 782 943 1173 1394 1564 1886 2091 2346 2788 2829 3772 4182 4692 5658 8364 11316 16031 32062 48093 54167 64124 96186 108334 162501 192372 216668 325002 650004 920839 1245841 1841678 2220847 2491682 2762517 3683356 3737523 4441694 4983364 5525034 6662541 7475046 8883388 11050068 13325082 14950092 21179297 26650164 37754399 42358594 51079481 63537891 75508798 84717188 102158962 113263197 127075782 151017596 153238443 204317924 226526394 254151564 306476886 453052788 612953772 868351177 1736702354 2605053531 3473404708 5210107062 10420214124