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121330310101 = 711132311671801
BaseRepresentation
bin111000011111111011…
…0011001101111010101
3102121011201101100212221
41300333312121233111
53441441024410401
6131423253342341
711523451422340
oct1607766315725
9377151340787
10121330310101
1147501884860
121b6213379b1
13b5979a5500
145c2dcb7457
153251b817a1
hex1c3fd99bd5

121330310101 has 96 divisors (see below), whose sum is σ = 170190913536. Its totient is φ = 83903040000.

The previous prime is 121330310093. The next prime is 121330310147. The reversal of 121330310101 is 101013033121.

It is not a de Polignac number, because 121330310101 - 23 = 121330310093 is a prime.

It is a super-3 number, since 3×1213303101013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121330310191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67367401 + ... + 67369201.

It is an arithmetic number, because the mean of its divisors is an integer number (1772822016).

Almost surely, 2121330310101 is an apocalyptic number.

121330310101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121330310101 is a deficient number, since it is larger than the sum of its proper divisors (48860603435).

121330310101 is a wasteful number, since it uses less digits than its factorization.

121330310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 121330310101 its reverse (101013033121), we get a palindrome (222343343222).

The spelling of 121330310101 in words is "one hundred twenty-one billion, three hundred thirty million, three hundred ten thousand, one hundred one".

Divisors: 1 7 11 13 31 77 91 143 167 169 217 341 403 1001 1169 1183 1801 1837 1859 2171 2387 2821 4433 5177 5239 12607 12859 13013 15197 19811 23413 23881 28223 31031 36239 36673 55831 56947 57629 67301 138677 163891 167167 197561 257543 300767 304369 310453 390817 398629 403403 471107 614141 725803 740311 874913 1802801 2105369 2130583 2173171 3308437 3348059 3909971 4298987 5080621 5182177 6124391 7983833 9323777 9435439 9624043 23159059 23436413 27369797 43009681 50829623 55886831 65266439 66048073 67368301 102561547 103789829 121209101 301067767 355807361 559125853 717930829 726528803 848463707 1333300111 1575718313 3913880971 9333100777 11030028191 17332901443 121330310101