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10421642022 = 2311179288451
BaseRepresentation
bin10011011010010110…
…11010001100100110
3222220022011021020120
421231023122030212
5132320420021042
64442043542410
7516154331661
oct115513321446
928808137216
1010421642022
1144688219a0
12202a22aa06
13ca11686ac
1470c15c6d8
1540ede8dec
hex26d2da326

10421642022 has 32 divisors (see below), whose sum is σ = 24075667584. Its totient is φ = 2972304000.

The previous prime is 10421642017. The next prime is 10421642029. The reversal of 10421642022 is 22024612401.

It is a happy number.

10421642022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104216420222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10421641983 and 10421642001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421642029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4643104 + ... + 4645347.

It is an arithmetic number, because the mean of its divisors is an integer number (752364612).

Almost surely, 210421642022 is an apocalyptic number.

10421642022 is an abundant number, since it is smaller than the sum of its proper divisors (13654025562).

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

10421642022 is a wasteful number, since it uses less digits than its factorization.

10421642022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288484.

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 10421642022 in words is "ten billion, four hundred twenty-one million, six hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 9288451 18576902 27865353 55730706 102172961 157903667 204345922 306518883 315807334 473711001 613037766 947422002 1736940337 3473880674 5210821011 10421642022