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121310103020022 = 23277139734156831
BaseRepresentation
bin11011100101010010110101…
…100110010010000111110110
3120220112010120122202002012100
4123211102311212102013312
5111400021042333120042
61110001031511202530
734360236304131450
oct3345226546220766
9526463518662170
10121310103020022
1135720364674924
1211732864076446
13528c655671867
1421d56243172d0
15e0584a4d824c
hex6e54b59921f6

121310103020022 has 96 divisors (see below), whose sum is σ = 305385031471104. Its totient is φ = 34085783793600.

The previous prime is 121310103019969. The next prime is 121310103020033. The reversal of 121310103020022 is 220020301013121.

121310103020022 is a `hidden beast` number, since 1 + 21 + 310 + 10 + 302 + 0 + 0 + 22 = 666.

It is a super-2 number, since 2×1213101030200222 (a number of 29 digits) contains 22 as substring.

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 = 121310103019977 and 121310103020004.

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, 13526854 + ... + 20629977.

It is an arithmetic number, because the mean of its divisors is an integer number (3181094077824).

Almost surely, 2121310103020022 is an apocalyptic number.

121310103020022 is an abundant number, since it is smaller than the sum of its proper divisors (184074928451082).

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

121310103020022 is a wasteful number, since it uses less digits than its factorization.

121310103020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34157314 (or 34157311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121310103020022 its reverse (220020301013121), we get a palindrome (341330404033143).

The spelling of 121310103020022 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred three million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 397 426 497 639 794 994 1191 1278 1491 2382 2779 2982 3573 4473 5558 7146 8337 8946 16674 25011 28187 50022 56374 84561 169122 197309 253683 394618 507366 591927 1183854 1775781 3551562 34156831 68313662 102470493 204940986 239097817 307411479 478195634 614822958 717293451 1434586902 2151880353 2425135001 4303760706 4850270002 7275405003 13560261907 14550810006 16975945007 21826215009 27120523814 33951890014 40680785721 43652430018 50927835021 81361571442 94921833349 101855670042 122042357163 152783505063 189843666698 244084714326 284765500047 305567010126 569531000094 854296500141 962778595397 1708593000282 1925557190794 2888335786191 5776671572382 6739450167779 8665007358573 13478900335558 17330014717146 20218350503337 40436701006674 60655051510011 121310103020022