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10004342022 = 233414919203
BaseRepresentation
bin10010101000100111…
…00010010100000110
3221211012221020021000
421110103202110012
5130442102421042
64332415434130
7502626334623
oct112423422406
927735836230
1010004342022
114274210264
121b32525946
13c3587a90c
146ac97334a
153d846974c
hex2544e2506

10004342022 has 64 divisors (see below), whose sum is σ = 22822974720. Its totient is φ = 3246465600.

The previous prime is 10004342009. The next prime is 10004342083. The reversal of 10004342022 is 22024340001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10004341986 and 10004342004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082473 + ... + 1091675.

It is an arithmetic number, because the mean of its divisors is an integer number (356608980).

Almost surely, 210004342022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004342022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411487360).

10004342022 is an abundant number, since it is smaller than the sum of its proper divisors (12818632698).

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

10004342022 is a wasteful number, since it uses less digits than its factorization.

10004342022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9740 counting only the distinct ones).

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

Adding to 10004342022 its reverse (22024340001), we get a palindrome (32028682023).

The spelling of 10004342022 in words is "ten billion, four million, three hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 491 738 982 1107 1473 2214 2946 4419 8838 9203 13257 18406 20131 26514 27609 40262 55218 60393 82827 120786 165654 181179 248481 362358 377323 496962 543537 754646 1087074 1131969 2263938 3395907 4518673 6791814 9037346 10187721 13556019 20375442 27112038 40668057 81336114 122004171 185265593 244008342 370531186 555796779 1111593558 1667390337 3334780674 5002171011 10004342022