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11023552434104 = 23719151661103801
BaseRepresentation
bin1010000001101001111011…
…1011010100111110111000
31110000211201022201022000122
42200122132323110332320
52421102213410342404
635240052225552412
72215265622443060
oct240323673247670
943024638638018
1011023552434104
113570075a69291
1212a05314a5708
1361c693a965b2
142a17855883a0
15141b3423d3be
hexa069eed4fb8

11023552434104 has 128 divisors (see below), whose sum is σ = 25067933875200. Its totient is φ = 4439318400000.

The previous prime is 11023552434091. The next prime is 11023552434107. The reversal of 11023552434104 is 40143425532011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023552434107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106147004 + ... + 106250804.

It is an arithmetic number, because the mean of its divisors is an integer number (195843233400).

Almost surely, 211023552434104 is an apocalyptic number.

11023552434104 is a gapful number since it is divisible by the number (14) 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 11023552434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533966937600).

11023552434104 is an abundant number, since it is smaller than the sum of its proper divisors (14044381441096).

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

11023552434104 is a wasteful number, since it uses less digits than its factorization.

11023552434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104645 (or 104641 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 11023552434104 its reverse (40143425532011), we get a palindrome (51166977966115).

The spelling of 11023552434104 in words is "eleven trillion, twenty-three billion, five hundred fifty-two million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 151 152 266 302 532 604 661 1057 1064 1208 1322 2114 2644 2869 4228 4627 5288 5738 8456 9254 11476 12559 18508 20083 22952 25118 37016 40166 50236 80332 87913 99811 100472 103801 160664 175826 199622 207602 351652 399244 415204 698677 703304 726607 798488 830408 1397354 1453214 1896409 1972219 2794708 2906428 3792818 3944438 5589416 5812856 7585636 7888876 13274863 13805533 15171272 15673951 15777752 26549726 27611066 31347902 53099452 55222132 62695804 68612461 106198904 109717657 110444264 125391608 137224922 219435314 274449844 297805069 438870628 480287227 548899688 595610138 877741256 960574454 1191220276 1303636759 1921148908 2084635483 2382440552 2607273518 3842297816 4169270966 5214547036 8338541932 9125457313 10360481611 10429094072 16677083864 18250914626 20720963222 36501829252 41441926444 72523371277 73003658504 82883852888 145046742554 196849150609 290093485108 393698301218 580186970216 787396602436 1377944054263 1574793204872 2755888108526 5511776217052 11023552434104