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11222012010 = 23511416113597
BaseRepresentation
bin10100111001110001…
…00101000001101010
31001222002012021110110
422130320211001222
5140440313341020
65053314355150
7545043346116
oct123470450152
931862167413
1011222012010
1148395957a0
12221228bab6
13109ac1aac1
14786582746
1545a2e58e0
hex29ce2506a

11222012010 has 128 divisors (see below), whose sum is σ = 30593541888. Its totient is φ = 2610432000.

The previous prime is 11222012003. The next prime is 11222012017. The reversal of 11222012010 is 1021022211.

It is an interprime number because it is at equal distance from previous prime (11222012003) and next prime (11222012017).

It is not an unprimeable number, because it can be changed into a prime (11222012017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818532 + ... + 832128.

It is an arithmetic number, because the mean of its divisors is an integer number (239012046).

Almost surely, 211222012010 is an apocalyptic number.

11222012010 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 11222012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296770944).

11222012010 is an abundant number, since it is smaller than the sum of its proper divisors (19371529878).

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

11222012010 is a wasteful number, since it uses less digits than its factorization.

11222012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720.

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

Adding to 11222012010 its reverse (1021022211), we get a palindrome (12243034221).

It can be divided in two parts, 1122201 and 2010, that added together give a palindrome (1124211).

The spelling of 11222012010 in words is "eleven billion, two hundred twenty-two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 61 66 82 110 122 123 165 183 205 246 305 330 366 410 451 610 615 671 902 915 1230 1342 1353 1830 2013 2255 2501 2706 3355 4026 4510 5002 6710 6765 7503 10065 12505 13530 13597 15006 20130 25010 27194 27511 37515 40791 55022 67985 75030 81582 82533 135970 137555 149567 165066 203955 275110 299134 407910 412665 448701 557477 747835 825330 829417 897402 1114954 1495670 1658834 1672431 2243505 2488251 2787385 3344862 4147085 4487010 4976502 5574770 6132247 8294170 8362155 9123587 12264494 12441255 16724310 18247174 18396741 24882510 27370761 30661235 34006097 36793482 45617935 54741522 61322470 68012194 91235870 91983705 102018291 136853805 170030485 183967410 204036582 273707610 340060970 374067067 510091455 748134134 1020182910 1122201201 1870335335 2244402402 3740670670 5611006005 11222012010