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11020461140 = 225131715715881
BaseRepresentation
bin10100100001101111…
…01110010001010100
31001110000221102122102
422100313232101110
5140032214224030
65021314421232
7540045242213
oct122067562124
931400842572
1011020461140
114745843627
122176891818
13106823c930
147678b907a
15447781c45
hex290dee454

11020461140 has 96 divisors (see below), whose sum is σ = 26559023904. Its totient is φ = 3805102080.

The previous prime is 11020461131. The next prime is 11020461161. The reversal of 11020461140 is 4116402011.

It can be written as a sum of positive squares in 16 ways, for example, as 1313482564 + 9706978576 = 36242^2 + 98524^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686000 + ... + 701880.

It is an arithmetic number, because the mean of its divisors is an integer number (276656499).

Almost surely, 211020461140 is an apocalyptic number.

11020461140 is a gapful number since it is divisible by the number (10) 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 11020461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279511952).

11020461140 is an abundant number, since it is smaller than the sum of its proper divisors (15538562764).

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

11020461140 is a wasteful number, since it uses less digits than its factorization.

11020461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11020461140 its reverse (4116402011), we get a palindrome (15136863151).

The spelling of 11020461140 in words is "eleven billion, twenty million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 157 170 221 260 314 340 442 628 785 884 1105 1570 2041 2210 2669 3140 4082 4420 5338 8164 10205 10676 13345 15881 20410 26690 31762 34697 40820 53380 63524 69394 79405 138788 158810 173485 206453 269977 317620 346970 412906 539954 693940 825812 1032265 1079908 1349885 2064530 2493317 2699770 3509701 4129060 4986634 5399540 7019402 9973268 12466585 14038804 17548505 24933170 32413121 35097010 42386389 49866340 64826242 70194020 84772778 129652484 162065605 169545556 211931945 324131210 423863890 551023057 648262420 847727780 1102046114 2204092228 2755115285 5510230570 11020461140