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1211111031104 = 261330712233877
BaseRepresentation
bin10001100111111011110…
…101111100000101000000
311021210002102001222020222
4101213323311330011000
5124320323410443404
62324213212322212
7153333313623512
oct21477365740500
94253072058228
101211111031104
114276a1670227
1217687a773368
138a290518b20
144289205bbb2
15217853acdbe
hex119fbd7c140

1211111031104 has 112 divisors (see below), whose sum is σ = 2599391507328. Its totient is φ = 556554405888.

The previous prime is 1211111031071. The next prime is 1211111031107. The reversal of 1211111031104 is 4011301111121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211111031107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312381614 + ... + 312385490.

It is an arithmetic number, because the mean of its divisors is an integer number (23208852744).

Almost surely, 21211111031104 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 1211111031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299695753664).

1211111031104 is an abundant number, since it is smaller than the sum of its proper divisors (1388280476224).

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

1211111031104 is a wasteful number, since it uses less digits than its factorization.

1211111031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1211111031104 its reverse (4011301111121), we get a palindrome (5222412142225).

The spelling of 1211111031104 in words is "one trillion, two hundred eleven billion, one hundred eleven million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 307 416 614 832 1223 1228 2446 2456 3877 3991 4892 4912 7754 7982 9784 9824 15508 15899 15964 19568 19648 31016 31798 31928 39136 50401 62032 63596 63856 78272 100802 124064 127192 127712 201604 248128 254384 255424 375461 403208 508768 750922 806416 1017536 1190239 1501844 1612832 2380478 3003688 3225664 4741571 4760956 4880993 6007376 9483142 9521912 9761986 12014752 15473107 18966284 19043824 19523972 24029504 30946214 37932568 38087648 39047944 61640423 61892428 75865136 76175296 78095888 123280846 123784856 151730272 156191776 246561692 247569712 303460544 312383552 493123384 495139424 986246768 990278848 1455662297 1972493536 2911324594 3944987072 5822649188 11645298376 18923609861 23290596752 37847219722 46581193504 75694439444 93162387008 151388878888 302777757776 605555515552 1211111031104