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10022013210 = 2351189341233
BaseRepresentation
bin10010101010101101…
…11100100100011010
3221212110012000120110
421111112330210122
5131011113410320
64334250305150
7503232464256
oct112526744432
927773160513
1010022013210
11428318a950
121b384281b6
13c39427041
146b1053266
153d9caa5e0
hex2555bc91a

10022013210 has 64 divisors (see below), whose sum is σ = 26534355840. Its totient is φ = 2402273280.

The previous prime is 10022013193. The next prime is 10022013241. The reversal of 10022013210 is 1231022001.

10022013210 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-3 number, since 3×100220132103 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 141247 + ... + 199986.

It is an arithmetic number, because the mean of its divisors is an integer number (414599310).

Almost surely, 210022013210 is an apocalyptic number.

10022013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022013210 is an abundant number, since it is smaller than the sum of its proper divisors (16512342630).

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

10022013210 is a wasteful number, since it uses less digits than its factorization.

10022013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341343.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022013210 its reverse (1231022001), we get a palindrome (11253035211).

The spelling of 10022013210 in words is "ten billion, twenty-two million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 890 979 1335 1958 2670 2937 4895 5874 9790 14685 29370 341233 682466 1023699 1706165 2047398 3412330 3753563 5118495 7507126 10236990 11260689 18767815 22521378 30369737 37535630 56303445 60739474 91109211 112606890 151848685 182218422 303697370 334067107 455546055 668134214 911092110 1002201321 1670335535 2004402642 3340671070 5011006605 10022013210