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3111101031012 = 22313317149941969
BaseRepresentation
bin101101010001011100000…
…100100110001001100100
3102000102021222110102102120
4231101130010212021210
5401433013330443022
610341115312105540
7440524661303352
oct55213404461144
912012258412376
103111101031012
11a9a457475777
12422b515352b0
131974b617bb40
14aa8144067d2
1555dd8327d5c
hex2d45c126264

3111101031012 has 96 divisors (see below), whose sum is σ = 7847718480000. Its totient is φ = 953582794752.

The previous prime is 3111101030993. The next prime is 3111101031043. The reversal of 3111101031012 is 2101301011113.

It is a junction number, because it is equal to n+sod(n) for n = 3111101030982 and 3111101031000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74107564 + ... + 74149532.

It is an arithmetic number, because the mean of its divisors is an integer number (81747067500).

Almost surely, 23111101031012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111101031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923859240000).

3111101031012 is an abundant number, since it is smaller than the sum of its proper divisors (4736617448988).

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

3111101031012 is a wasteful number, since it uses less digits than its factorization.

3111101031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43805 (or 43803 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 3111101031012 its reverse (2101301011113), we get a palindrome (5212402042125).

The spelling of 3111101031012 in words is "three trillion, one hundred eleven billion, one hundred one million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 951 1268 1499 1902 2998 3804 4121 4497 5996 8242 8994 12363 16484 17988 19487 24726 38974 41969 49452 58461 77948 83938 116922 125907 167876 233844 251814 475183 503628 545597 950366 1091194 1425549 1636791 1900732 2182388 2851098 3273582 5702196 6177379 6547164 12354758 13304173 18532137 24709516 26608346 37064274 39912519 53216692 62911531 74128548 79825038 125823062 159650076 172954249 188734593 251646124 345908498 377469186 518862747 691816996 754938372 817849903 1037725494 1635699806 2075450988 2453549709 3271399612 4907099418 9814198836 19942955327 39885910654 59828865981 79771821308 119657731962 239315463924 259258419251 518516838502 777775257753 1037033677004 1555550515506 3111101031012