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22002020101012 = 22721945713999241
BaseRepresentation
bin1010000000010101111101…
…00101111010101110010100
32212220101001121111010020211
411000022332211322232110
510340440114121213022
6114443331040535204
74430410366061200
oct500127645725624
985811047433224
1022002020101012
117013005834696
122574180021504
13c37a2120c843
14560c91119b00
152824ca396e77
hex1402be97ab94

22002020101012 has 144 divisors (see below), whose sum is σ = 47289243792000. Its totient is φ = 8906268349440.

The previous prime is 22002020100989. The next prime is 22002020101021. The reversal of 22002020101012 is 21010102020022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22002020100983 and 22002020101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380908712 + ... + 2380917952.

Almost surely, 222002020101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002020101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23644621896000).

22002020101012 is an abundant number, since it is smaller than the sum of its proper divisors (25287223690988).

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

22002020101012 is a wasteful number, since it uses less digits than its factorization.

22002020101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22002020101012 its reverse (21010102020022), we get a palindrome (43012122121034).

The spelling of 22002020101012 in words is "twenty-two trillion, two billion, twenty million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 457 532 914 931 1399 1828 1862 2798 3199 3724 5596 6398 8683 9241 9793 12796 17366 18482 19586 22393 26581 34732 36964 39172 44786 53162 60781 64687 68551 89572 106324 121562 129374 137102 175579 186067 243124 258748 274204 351158 372134 425467 452809 639343 702316 744268 850934 905618 1229053 1278686 1302469 1701868 1811236 2458106 2557372 2604938 4223137 4475401 4916212 5209876 8446274 8603371 8950802 12147517 12928159 16892548 17206742 17901604 24295034 25856318 29561959 31327807 34413484 48590068 51712636 59123918 62655614 80239603 85032619 90497113 118247836 125311228 160479206 170065238 180994226 206933713 245635021 320958412 340130476 361988452 413867426 491270042 561677221 595228333 633479791 827734852 982540084 1123354442 1190456666 1266959582 1719445147 2246708884 2380913332 2533919164 3438890294 3931740547 5908168663 6877780588 7863481094 11816337326 12036116029 15726962188 23632674652 24072232058 41357180641 48144464116 82714361282 112255204597 165428722564 224510409194 289500264487 449020818388 579000528974 785786432179 1158001057948 1571572864358 3143145728716 5500505025253 11001010050506 22002020101012