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10022231010 = 23511101389773
BaseRepresentation
bin10010101010101111…
…10001101111100010
3221212110121002100010
421111113301233202
5131011142343020
64334255105350
7503234362251
oct112527615742
927773532303
1010022231010
114283319550
121b38512256
13c394a220c
146b10ac798
153d9ceede0
hex2555f1be2

10022231010 has 128 divisors (see below), whose sum is σ = 26602318080. Its totient is φ = 2396288000.

The previous prime is 10022230997. The next prime is 10022231039. The reversal of 10022231010 is 1013222001.

It is a super-2 number, since 2×100222310102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12964984 + ... + 12965756.

It is an arithmetic number, because the mean of its divisors is an integer number (207830610).

Almost surely, 210022231010 is an apocalyptic number.

10022231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301159040).

10022231010 is an abundant number, since it is smaller than the sum of its proper divisors (16580087070).

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

10022231010 is a wasteful number, since it uses less digits than its factorization.

10022231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284.

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

Adding to 10022231010 its reverse (1013222001), we get a palindrome (11035453011).

Subtracting from 10022231010 its reverse (1013222001), we obtain a palindrome (9009009009).

The spelling of 10022231010 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 389 505 606 773 778 1010 1111 1167 1515 1546 1945 2222 2319 2334 3030 3333 3865 3890 4279 4638 5555 5835 6666 7730 8503 8558 11110 11595 11670 12837 16665 17006 21395 23190 25509 25674 33330 39289 42515 42790 51018 64185 78073 78578 85030 117867 127545 128370 156146 196445 234219 235734 255090 300697 390365 392890 432179 468438 589335 601394 780730 858803 864358 902091 1171095 1178670 1296537 1503485 1717606 1804182 2160895 2342190 2576409 2593074 3006970 3307667 4294015 4321790 4510455 5152818 6482685 6615334 8588030 9020910 9923001 12882045 12965370 16538335 19846002 25764090 30370397 33076670 49615005 60740794 91111191 99230010 151851985 182222382 303703970 334074367 455555955 668148734 911111910 1002223101 1670371835 2004446202 3340743670 5011115505 10022231010