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121313222131010 = 25721361312204293
BaseRepresentation
bin11011100101010101101111…
…100000101111110101000010
3120220112102122000220100002112
4123211111233200233311002
5111400043434331143020
61110002305212415322
734360406510133500
oct3345255740576502
9526472560810075
10121313222131010
113572171529a0a8
1211733394777542
13528ca3192b470
1421d583c687670
15e0597e2592c5
hex6e556f82fd42

121313222131010 has 96 divisors (see below), whose sum is σ = 278039153698992. Its totient is φ = 37764231160320.

The previous prime is 121313222130979. The next prime is 121313222131021. The reversal of 121313222131010 is 10131222313121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5316164873761 + 115997057257249 = 2305681^2 + 10770193^2 .

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, 155713577 + ... + 156490716.

Almost surely, 2121313222131010 is an apocalyptic number.

121313222131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121313222131010 is an abundant number, since it is smaller than the sum of its proper divisors (156725931567982).

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

121313222131010 is a wasteful number, since it uses less digits than its factorization.

121313222131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312204388 (or 312204381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 121313222131010 its reverse (10131222313121), we get a palindrome (131444444444131).

The spelling of 121313222131010 in words is "one hundred twenty-one trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 61 65 70 91 98 122 130 182 245 305 427 455 490 610 637 793 854 910 1274 1586 2135 2989 3185 3965 4270 5551 5978 6370 7930 11102 14945 27755 29890 38857 55510 77714 194285 388570 312204293 624408586 1561021465 2185430051 3122042930 4058655809 4370860102 8117311618 10927150255 15298010357 19044461873 20293279045 21854300510 28410590663 30596020714 38088923746 40586558090 56821181326 76490051785 95222309365 133311233111 142052953315 152980103570 190444618730 198874134641 247578004349 266622466222 284105906630 397748269282 495156008698 666556165555 933178631777 994370673205 1237890021745 1333112331110 1733046030443 1866357263554 1988741346410 2475780043490 3466092060886 4665893158885 8665230152215 9331786317770 12131322213101 17330460304430 24262644426202 60656611065505 121313222131010