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20102022120012 = 2237331157544297
BaseRepresentation
bin1001001001000010111011…
…11000110100001001001100
32122011201211111002012002020
410210201131320310021030
510113322420130320022
6110430424054130140
74143215563521000
oct444413570641114
978151744065066
1020102022120012
1164502464788a8
122307aa6650950
13b2a7c6a13ba1
144d6d2ba94700
1524cd768a235c
hex12485de3424c

20102022120012 has 96 divisors (see below), whose sum is σ = 56463876403200. Its totient is φ = 5558162762880.

The previous prime is 20102022119983. The next prime is 20102022120029. The reversal of 20102022120012 is 21002122020102.

It is a junction number, because it is equal to n+sod(n) for n = 20102022119973 and 20102022120000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78644553 + ... + 78899744.

It is an arithmetic number, because the mean of its divisors is an integer number (588165379200).

Almost surely, 220102022120012 is an apocalyptic number.

It is an amenable number.

20102022120012 is an abundant number, since it is smaller than the sum of its proper divisors (36361854283188).

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

20102022120012 is a wasteful number, since it uses less digits than its factorization.

20102022120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157544356 (or 157544340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20102022120012 its reverse (21002122020102), we get a palindrome (41104144140114).

The spelling of 20102022120012 in words is "twenty trillion, one hundred two billion, twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 343 372 434 588 651 686 868 1029 1302 1372 1519 2058 2604 3038 4116 4557 6076 9114 10633 18228 21266 31899 42532 63798 127596 157544297 315088594 472632891 630177188 945265782 1102810079 1890531564 2205620158 3308430237 4411240316 4883873207 6616860474 7719670553 9767746414 13233720948 14651619621 15439341106 19535492828 23159011659 29303239242 30878682212 34187112449 46318023318 54037693871 58606478484 68374224898 92636046636 102561337347 108075387742 136748449796 162113081613 205122674694 216150775484 239309787143 324226163226 410245349388 478619574286 648452326452 717929361429 957239148572 1435858722858 1675168510001 2871717445716 3350337020002 5025505530003 6700674040004 10051011060006 20102022120012