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210331121133012 = 2231126431621138977
BaseRepresentation
bin101111110100101110000111…
…110000101010010111010100
31000120201110101110200200212220
4233310232013300222113110
5210032031114002224022
62023200441053342340
762205631154114625
oct5764560760522724
91016643343620786
10210331121133012
1161021a22616500
121b70b6b6a979b0
1390491a797aab9
1439d211b17da4c
15194b2dd92785c
hexbf4b87c2a5d4

210331121133012 has 144 divisors (see below), whose sum is σ = 540620421880896. Its totient is φ = 63597863577600.

The previous prime is 210331121132959. The next prime is 210331121133061.

210331121133012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513354468 + ... + 1513493444.

It is an arithmetic number, because the mean of its divisors is an integer number (3754308485284).

Almost surely, 2210331121133012 is an apocalyptic number.

210331121133012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210331121133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270310210940448).

210331121133012 is an abundant number, since it is smaller than the sum of its proper divisors (330289300747884).

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

210331121133012 is a wasteful number, since it uses less digits than its factorization.

210331121133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141270 (or 141257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 210331121133012 in words is "two hundred ten trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 643 726 1286 1452 1621 1929 2572 3242 3858 4863 6484 7073 7716 9726 14146 17831 19452 21219 28292 35662 42438 53493 71324 77803 84876 106986 138977 155606 196141 213972 233409 277954 311212 392282 416931 466818 555908 588423 784564 833862 933636 1042303 1176846 1528747 1667724 2084606 2353692 3057494 3126909 4169212 4586241 6114988 6253818 9172482 11465333 12507636 16816217 18344964 22930666 33632434 34395999 45861332 50448651 67264868 68791998 89362211 100897302 126118663 137583996 178724422 201794604 225281717 252237326 268086633 357448844 378355989 450563434 504474652 536173266 675845151 756711978 901126868 982984321 1072346532 1351690302 1513423956 1965968642 2478098887 2703380604 2948952963 3931937284 4956197774 5897905926 7434296661 9912395548 10812827531 11795811852 14868593322 21625655062 27259087757 29737186644 32438482593 43251310124 54518175514 64876965186 81777263271 109036351028 129753930372 144856144031 163554526542 289712288062 327109053084 434568432093 579424576124 869136864186 1593417584341 1738273728372 3186835168682 4780252753023 6373670337364 9560505506046 17527593427751 19121011012092 35055186855502 52582780283253 70110373711004 105165560566506 210331121133012