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10221222011 = 71113231094073
BaseRepresentation
bin10011000010011101…
…10111100001111011
3222101100000212200012
421201032313201323
5131413113101021
64410124132135
7511201645040
oct114116674173
928340025605
1010221222011
114375682420
121b9309704b
13c6b795180
146cd6ab1c7
153ec50a35b
hex2613b787b

10221222011 has 64 divisors (see below), whose sum is σ = 14455203840. Its totient is φ = 6966051840.

The previous prime is 10221221993. The next prime is 10221222013. The reversal of 10221222011 is 11022212201.

It is not a de Polignac number, because 10221222011 - 214 = 10221205627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221222013) by changing a digit.

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, 2507471 + ... + 2511543.

It is an arithmetic number, because the mean of its divisors is an integer number (225862560).

Almost surely, 210221222011 is an apocalyptic number.

10221222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221222011 is a deficient number, since it is larger than the sum of its proper divisors (4233981829).

10221222011 is a wasteful number, since it uses less digits than its factorization.

10221222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221222011 its reverse (11022212201), we get a palindrome (21243434212).

It can be divided in two parts, 10221 and 222011, that added together give a palindrome (232232).

The spelling of 10221222011 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, eleven".

Divisors: 1 7 11 13 23 77 91 109 143 161 253 299 763 1001 1199 1417 1771 2093 2507 3289 4073 8393 9919 15587 17549 23023 27577 28511 32591 44803 52949 93679 109109 193039 228137 313621 358501 370643 443957 582439 655753 1030469 1217827 2509507 3107699 4077073 4883527 5771441 7213283 8524789 10211011 13396097 34184689 40400087 63485851 71477077 93772679 112321121 132743143 444400957 786247847 929202001 1460174573 10221222011