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10420203402 = 23271915312843
BaseRepresentation
bin10011011010001011…
…11010111110001010
3222220012110011211100
421231011322332022
5132320033002102
64441553042230
7516136160520
oct115505727612
928805404740
1010420203402
114467a2a054
122029856376
13ca0a8393b
1470bca6310
1540ec12a1c
hex26d17af8a

10420203402 has 96 divisors (see below), whose sum is σ = 27187729920. Its totient is φ = 2817672480.

The previous prime is 10420203371. The next prime is 10420203463. The reversal of 10420203402 is 20430202401.

10420203402 is a `hidden beast` number, since 1 + 0 + 420 + 203 + 40 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 3663793 + ... + 3666635.

It is an arithmetic number, because the mean of its divisors is an integer number (283205520).

Almost surely, 210420203402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420203402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593864960).

10420203402 is an abundant number, since it is smaller than the sum of its proper divisors (16767526518).

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

10420203402 is a wasteful number, since it uses less digits than its factorization.

10420203402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10420203402 its reverse (20430202401), we get a palindrome (30850405803).

The spelling of 10420203402 in words is "ten billion, four hundred twenty million, two hundred three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1531 2394 2843 3062 4593 5686 8529 9186 10717 13779 17058 19901 21434 25587 27558 29089 32151 39802 51174 54017 58178 59703 64302 87267 96453 108034 119406 162051 174534 179109 192906 203623 261801 324102 358218 378119 407246 486153 523602 610869 756238 972306 1134357 1221738 1832607 2268714 3403071 3665214 4352633 6806142 8705266 13057899 26115798 30468431 39173697 60936862 78347394 82700027 91405293 165400054 182810586 248100081 274215879 496200162 548431758 578900189 744300243 1157800378 1488600486 1736700567 3473401134 5210101701 10420203402