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11140002104 = 237111271311087
BaseRepresentation
bin10100101111111111…
…01111000100111000
31001202100212202000112
422113333233010320
5140303320031404
65041224523452
7543026312150
oct122777570470
931670782015
1011140002104
1147a7271510
1221aa920588
131086c3592a
14779715760
15452ee656e
hex297fef138

11140002104 has 128 divisors (see below), whose sum is σ = 26471301120. Its totient is φ = 4269283200.

The previous prime is 11140002103. The next prime is 11140002127. The reversal of 11140002104 is 40120004111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140002103) 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, 10247849 + ... + 10248935.

It is an arithmetic number, because the mean of its divisors is an integer number (206807040).

Almost surely, 211140002104 is an apocalyptic number.

11140002104 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 11140002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235650560).

11140002104 is an abundant number, since it is smaller than the sum of its proper divisors (15331299016).

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

11140002104 is a wasteful number, since it uses less digits than its factorization.

11140002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11140002104 its reverse (40120004111), we get a palindrome (51260006215).

The spelling of 11140002104 in words is "eleven billion, one hundred forty million, two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 131 154 254 262 308 508 524 616 889 917 1016 1048 1087 1397 1441 1778 1834 2174 2794 2882 3556 3668 4348 5588 5764 7112 7336 7609 8696 9779 10087 11176 11528 11957 15218 16637 19558 20174 23914 30436 33274 39116 40348 47828 60872 66548 78232 80696 83699 95656 116459 133096 138049 142397 167398 183007 232918 276098 284794 334796 366014 465836 552196 569588 669592 732028 931672 966343 996779 1104392 1139176 1281049 1464056 1518539 1566367 1932686 1993558 2562098 3037078 3132734 3865372 3987116 5124196 6074156 6265468 7730744 7974232 10248392 10629773 10964569 12148312 12530936 18084419 21259546 21929138 36168838 42519092 43858276 72337676 85038184 87716552 126590933 144675352 198928609 253181866 397857218 506363732 795714436 1012727464 1392500263 1591428872 2785000526 5570001052 11140002104