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10022042034 = 234238773067
BaseRepresentation
bin10010101010101110…
…00011100110110010
3221212110020111010000
421111113003212302
5131011120321114
64334251050430
7503232644304
oct112527034662
927773214100
1010022042034
1142831aa574
121b38440a16
13c394371b4
146b105d974
153d9cb3e09
hex2555c39b2

10022042034 has 80 divisors (see below), whose sum is σ = 23467549248. Its totient is φ = 3190749408.

The previous prime is 10022042029. The next prime is 10022042087. The reversal of 10022042034 is 43024022001.

10022042034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022041998 and 10022042016.

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 39 ways as a sum of consecutive naturals, for example, 3266169 + ... + 3269235.

Almost surely, 210022042034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022042034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733774624).

10022042034 is an abundant number, since it is smaller than the sum of its proper divisors (13445507214).

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

10022042034 is a wasteful number, since it uses less digits than its factorization.

10022042034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3972 counting only the distinct ones).

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

Adding to 10022042034 its reverse (43024022001), we get a palindrome (53046064035).

The spelling of 10022042034 in words is "ten billion, twenty-two million, forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 877 1242 1754 1863 2631 3067 3726 5262 6134 7893 9201 15786 18402 20171 23679 27603 40342 47358 55206 60513 70541 71037 82809 121026 141082 142074 165618 181539 211623 248427 363078 423246 496854 544617 634869 1089234 1269738 1633851 1904607 2689759 3267702 3809214 5379518 5713821 8069277 11427642 16138554 24207831 48415662 61864457 72623493 123728914 145246986 185593371 217870479 371186742 435740958 556780113 1113560226 1670340339 3340680678 5011021017 10022042034