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121310122013010 = 232571131704033179
BaseRepresentation
bin11011100101010010110110…
…101110101111000101010010
3120220112010121222111000200100
4123211102312232233011102
5111400021112213404020
61110001033430233230
734360236624434550
oct3345226656570522
9526463558430610
10121310122013010
1135720374367607
121173286a4b5816
13528c659591808
1421d5626a5cbd0
15e0584bedaa90
hex6e54b6baf152

121310122013010 has 96 divisors (see below), whose sum is σ = 363654312877440. Its totient is φ = 27482647094784.

The previous prime is 121310122012993. The next prime is 121310122013011. The reversal of 121310122013010 is 10310221013121.

121310122013010 is a `hidden beast` number, since 1 + 2 + 1 + 310 + 1 + 220 + 130 + 1 + 0 = 666.

It is a super-2 number, since 2×1213101220130102 (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 not an unprimeable number, because it can be changed into a prime (121310122013011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851945400 + ... + 852087779.

It is an arithmetic number, because the mean of its divisors is an integer number (3788065759140).

Almost surely, 2121310122013010 is an apocalyptic number.

121310122013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121310122013010 is an abundant number, since it is smaller than the sum of its proper divisors (242344190864430).

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

121310122013010 is a wasteful number, since it uses less digits than its factorization.

121310122013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704033312 (or 1704033309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121310122013010 its reverse (10310221013121), we get a palindrome (131620343026131).

The spelling of 121310122013010 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred twenty-two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 113 126 210 226 315 339 565 630 678 791 1017 1130 1582 1695 2034 2373 3390 3955 4746 5085 7119 7910 10170 11865 14238 23730 35595 71190 1704033179 3408066358 5112099537 8520165895 10224199074 11928232253 15336298611 17040331790 23856464506 25560497685 30672597222 35784696759 51120995370 59641161265 71569393518 76681493055 107354090277 119282322530 153362986110 178923483795 192555749227 214708180554 357846967590 385111498454 536770451385 577667247681 962778746135 1073540902770 1155334495362 1347890244589 1733001743043 1925557492270 2695780489178 2888336238405 3466003486086 4043670733767 5776672476810 6739451222945 8087341467534 8665008715215 12131012201301 13478902445890 17330017430430 20218353668835 24262024402602 40436707337670 60655061006505 121310122013010