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25022122121112 = 233171915432091917
BaseRepresentation
bin1011011000001111010101…
…01100110101011110011000
310021121002110201020211012220
411230013222230311132120
511234430301230333422
6125115000524304040
75161534340510004
oct554075254653630
9107532421224186
1025022122121112
117a77905680616
1229815560a2020
1310c67645b749c
14627111a93704
152d5d397a9e5c
hex16c1eab35798

25022122121112 has 128 divisors (see below), whose sum is σ = 69766302067200. Its totient is φ = 7432092223488.

The previous prime is 25022122121089. The next prime is 25022122121167. The reversal of 25022122121112 is 21112122122052.

It is a super-2 number, since 2×250221221211122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10915378 + ... + 13007294.

It is an arithmetic number, because the mean of its divisors is an integer number (545049234900).

Almost surely, 225022122121112 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 25022122121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34883151033600).

25022122121112 is an abundant number, since it is smaller than the sum of its proper divisors (44744179946088).

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

25022122121112 is a wasteful number, since it uses less digits than its factorization.

25022122121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093505 (or 2093501 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 25022122121112 its reverse (21112122122052), we get a palindrome (46134244243164).

The spelling of 25022122121112 in words is "twenty-five trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1543 1938 2584 3086 3876 4629 6172 7752 9258 12344 18516 26231 29317 37032 52462 58634 78693 87951 104924 117268 157386 175902 209848 234536 314772 351804 498389 629544 703608 996778 1495167 1993556 2091917 2990334 3987112 4183834 5980668 6275751 8367668 11961336 12551502 16735336 25103004 35562589 39746423 50206008 71125178 79492846 106687767 119239269 142250356 158985692 213375534 238478538 284500712 317971384 426751068 476957076 675689191 853502136 953914152 1351378382 2027067573 2702756764 3227827931 4054135146 5405513528 6455655862 8108270292 9683483793 12911311724 16216540584 19366967586 25822623448 38733935172 54873074827 61328730689 77467870344 109746149654 122657461378 164619224481 183986192067 219492299308 245314922756 329238448962 367972384134 438984598616 490629845512 658476897924 735944768268 1042588421713 1316953795848 1471889536536 2085176843426 3127765265139 4170353686852 6255530530278 8340707373704 12511061060556 25022122121112