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3103003013121 = 33114193113327
BaseRepresentation
bin101101001001111001011…
…001000111000000000001
3101222122101121121111021000
4231021321121013000001
5401314422232404441
610333255551322213
7440120210264634
oct55117131070001
911878347544230
103103003013121
11a96a81340000
12421471520369
131967c553a48b
14aa286b05c1b
1555ab241a2b6
hex2d279647001

3103003013121 has 160 divisors (see below), whose sum is σ = 5494974464000. Its totient is φ = 1724027263200.

The previous prime is 3103003013029. The next prime is 3103003013141. The reversal of 3103003013121 is 1213103003013.

It is a happy number.

3103003013121 is a `hidden beast` number, since 3 + 10 + 300 + 301 + 31 + 21 = 666.

It is not a de Polignac number, because 3103003013121 - 237 = 2965564059649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3103003013094 and 3103003013103.

It is not an unprimeable number, because it can be changed into a prime (3103003013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 232829160 + ... + 232842486.

It is an arithmetic number, because the mean of its divisors is an integer number (34343590400).

Almost surely, 23103003013121 is an apocalyptic number.

3103003013121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3103003013121 is a deficient number, since it is larger than the sum of its proper divisors (2391971450879).

3103003013121 is a wasteful number, since it uses less digits than its factorization.

3103003013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3103003013121 its reverse (1213103003013), we get a palindrome (4316106016134).

It can be divided in two parts, 3103003013 and 121, that multiplied together give a palindrome (375463364573).

The spelling of 3103003013121 in words is "three trillion, one hundred three billion, three million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 27 31 33 57 93 99 121 171 209 279 297 341 363 513 589 627 837 1023 1089 1331 1767 1881 2299 3069 3267 3751 3993 5301 5643 6479 6897 9207 11253 11979 13327 14641 15903 19437 20691 25289 33759 35937 39981 41261 43923 58311 62073 71269 75867 101277 119943 123783 131769 146597 174933 213807 227601 253213 278179 359829 371349 395307 413137 439791 453871 641421 682803 759639 783959 834537 1114047 1239411 1319373 1361613 1612567 1924263 2278917 2351877 2503611 2785343 3718233 3958119 4084839 4544507 4837701 6836751 7055631 7510833 7849603 8356029 8623549 11154699 12254517 13633521 14513103 17738237 21166893 23548809 25068087 25870647 30638773 40900563 43539309 49989577 53214711 70646427 75204261 77611941 86345633 91916319 122701689 149968731 159644133 195120607 211939281 232835823 259036899 275748957 337026503 449906193 478932399 549885347 585361821 777110697 827246871 949801963 1011079509 1349718579 1649656041 1756085463 2331332091 2849405889 3033238527 3707291533 4948968123 5268256389 6048738817 8548217667 9099715581 10447821593 11121874599 14846904369 18146216451 25644653001 31343464779 33365623797 54438649353 94030394337 100096871391 114926037523 163315948059 282091183011 344778112569 1034334337707 3103003013121