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10222211010 = 235111710118041
BaseRepresentation
bin10011000010100101…
…01000111111000010
3222101101220010022210
421201102220333002
5131413341223020
64410201242550
7511213234314
oct114122507702
928341803283
1010222211010
114376198480
121b93493456
13c6ba5038b
146cd8877b4
153ec6533e0
hex2614a8fc2

10222211010 has 128 divisors (see below), whose sum is σ = 28620096768. Its totient is φ = 2309120000.

The previous prime is 10222211009. The next prime is 10222211039. The reversal of 10222211010 is 1011222201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557590 + ... + 575630.

It is an arithmetic number, because the mean of its divisors is an integer number (223594506).

Almost surely, 210222211010 is an apocalyptic number.

10222211010 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 10222211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310048384).

10222211010 is an abundant number, since it is smaller than the sum of its proper divisors (18397885758).

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

10222211010 is a wasteful number, since it uses less digits than its factorization.

10222211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18180.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10222211010 its reverse (1011222201), we get a palindrome (11233433211).

The spelling of 10222211010 in words is "ten billion, two hundred twenty-two million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 5151 5555 5610 6666 8585 10302 11110 16665 17170 18041 18887 25755 33330 36082 37774 51510 54123 56661 90205 94435 108246 113322 180410 188870 198451 270615 283305 306697 396902 541230 566610 595353 613394 920091 992255 1190706 1533485 1822141 1840182 1984510 2976765 3066970 3373667 3644282 4600455 5466423 5953530 6747334 9110705 9200910 10121001 10932846 16868335 18221410 20043551 20242002 27332115 30976397 33736670 40087102 50605005 54664230 60130653 61952794 92929191 100217755 101210010 120261306 154881985 185858382 200435510 300653265 309763970 340740367 464645955 601306530 681480734 929291910 1022221101 1703701835 2044442202 3407403670 5111105505 10222211010