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121103313332001 = 372111341140513741
BaseRepresentation
bin11011100010010010001111…
…111110001110011100100001
3120212210100211010110111201020
4123202102033332032130201
5111333124041203111001
61105322032154400053
734336265666601600
oct3342221776163441
9525710733414636
10121103313332001
1135650699245610
12116ba772730029
135275cbb7a4610
1421c96085c3a37
15e00295e3e736
hex6e248ff8e721

121103313332001 has 96 divisors (see below), whose sum is σ = 226054011689856. Its totient is φ = 56655139968000.

The previous prime is 121103313331981. The next prime is 121103313332039. The reversal of 121103313332001 is 100233313301121.

It is not a de Polignac number, because 121103313332001 - 25 = 121103313331969 is a prime.

It is a super-2 number, since 2×1211033133320012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121103313332041) 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, 69395010 + ... + 71118731.

It is an arithmetic number, because the mean of its divisors is an integer number (2354729288436).

Almost surely, 2121103313332001 is an apocalyptic number.

121103313332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121103313332001 is a deficient number, since it is larger than the sum of its proper divisors (104950698357855).

121103313332001 is a wasteful number, since it uses less digits than its factorization.

121103313332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140513823 (or 140513816 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 121103313332001 its reverse (100233313301121), we get a palindrome (221336626633122).

The spelling of 121103313332001 in words is "one hundred twenty-one trillion, one hundred three billion, three hundred thirteen million, three hundred thirty-two thousand, one".

Divisors: 1 3 7 11 13 21 33 39 41 49 77 91 123 143 147 231 273 287 429 451 533 539 637 861 1001 1353 1599 1617 1911 2009 3003 3157 3731 5863 6027 7007 9471 11193 17589 21021 22099 26117 41041 66297 78351 123123 287287 861861 140513741 421541223 983596187 1545651151 1826678633 2950788561 4636953453 5480035899 5761063381 6885173309 10819558057 12786750431 17283190143 20093464963 20655519927 32458674171 38360251293 40327443667 60280394889 63371697191 74893823953 75736906399 89507253017 120982331001 140654254741 190115091573 224681471859 227210719197 268521759051 282292105669 421962764223 443601880337 524256767671 823832063483 846876317007 984579783187 1330805641011 1572770303013 2471496190449 2953739349561 3105213162359 3669797373697 5766824444381 9315639487077 11009392121091 17300473333143 40367771110667 121103313332001