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22110022021122 = 23371321206921401
BaseRepresentation
bin1010000011011111001000…
…00000100011000000000010
32220021200211110011010022000
411001233210000203000002
510344222311114133442
6115005112012524430
74441252646204640
oct501574400430002
986250743133260
1022110022021122
117054898029802
1225910a1780716
13c44c73785349
145661b8bc4190
152851ebd5ad4c
hex141be4023002

22110022021122 has 128 divisors (see below), whose sum is σ = 56224731916800. Its totient is φ = 6309021312000.

The previous prime is 22110022021117. The next prime is 22110022021123. The reversal of 22110022021122 is 22112022001122.

It is a happy number.

22110022021122 is a `hidden beast` number, since 2 + 211 + 0 + 0 + 220 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22110022021095 and 22110022021104.

It is not an unprimeable number, because it can be changed into a prime (22110022021123) 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, 1033119622 + ... + 1033141022.

It is an arithmetic number, because the mean of its divisors is an integer number (439255718100).

Almost surely, 222110022021122 is an apocalyptic number.

22110022021122 is an abundant number, since it is smaller than the sum of its proper divisors (34114709895678).

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

22110022021122 is a wasteful number, since it uses less digits than its factorization.

22110022021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24809 (or 24803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22110022021122 its reverse (22112022001122), we get a palindrome (44222044022244).

The spelling of 22110022021122 in words is "twenty-two trillion, one hundred ten billion, twenty-two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1321 2069 2642 3963 4138 6207 7926 9247 11889 12414 14483 18494 18621 21401 23778 27741 28966 35667 37242 42802 43449 55482 55863 64203 71334 83223 86898 111726 128406 130347 149807 166446 192609 249669 260694 299614 385218 391041 449421 499338 577827 782082 898842 1155654 1348263 2696526 2733149 4044789 5466298 8089578 8199447 16398894 19132043 24598341 28270721 38264086 44278669 49196682 56541442 57396129 73795023 84812163 88557338 114792258 132836007 147590046 169624326 172188387 197895047 254436489 265672014 309950683 344376774 395790094 398508021 508872978 516565161 593685141 619901366 763309467 797016042 929852049 1033130322 1187370282 1195524063 1526618934 1781055423 1859704098 2391048126 2789556147 3562110846 5343166269 5579112294 8368668441 10686332538 16737336882 58492121749 116984243498 175476365247 350952730494 409444852243 526429095741 818889704486 1052858191482 1228334556729 1579287287223 2456669113458 3158574574446 3685003670187 7370007340374 11055011010561 22110022021122