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10421442402 = 2373411131093
BaseRepresentation
bin10011011010010101…
…01001011101100010
3222220021210010102020
421231022221131202
5132320342124102
64442035402310
7516152541000
oct115512513542
928807703366
1010421442402
1144686a5a18
12202a153396
13ca10c8887
1470c109a70
1540eda9bbc
hex26d2a9762

10421442402 has 128 divisors (see below), whose sum is σ = 25142745600. Its totient is φ = 2876590080.

The previous prime is 10421442389. The next prime is 10421442419. The reversal of 10421442402 is 20424412401.

10421442402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 9534168 + ... + 9535260.

It is an arithmetic number, because the mean of its divisors is an integer number (196427700).

Almost surely, 210421442402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421442402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571372800).

10421442402 is an abundant number, since it is smaller than the sum of its proper divisors (14721303198).

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

10421442402 is a wasteful number, since it uses less digits than its factorization.

10421442402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10421442402 its reverse (20424412401), we get a palindrome (30845854803).

The spelling of 10421442402 in words is "ten billion, four hundred twenty-one million, four hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 113 123 147 226 246 287 294 339 343 574 678 686 791 861 1029 1093 1582 1722 2009 2058 2186 2373 3279 4018 4633 4746 5537 6027 6558 7651 9266 11074 12054 13899 14063 15302 16611 22953 27798 28126 32431 33222 38759 42189 44813 45906 53557 64862 77518 84378 89626 97293 107114 116277 123509 134439 160671 194586 227017 232554 247018 268878 313691 321342 370527 374899 454034 627382 681051 741054 749798 864563 941073 1124697 1362102 1589119 1729126 1882146 2195837 2249394 2593689 3178238 4391674 4767357 5063869 5187378 6051941 6587511 9534714 10127738 12103882 13175022 15191607 15370859 18155823 30383214 30741718 35447083 36311646 42363587 46112577 70894166 84727174 92225154 106341249 127090761 212682498 248129581 254181522 496259162 744388743 1488777486 1736907067 3473814134 5210721201 10421442402