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11102110104 = 2333122571873
BaseRepresentation
bin10100101011011110…
…01100000110011000
31001122201120121222010
422111233030012120
5140214120010404
65033352425520
7542056243641
oct122557140630
931581517863
1011102110104
114787940708
12219a0a82a0
13107c129727
147746906c8
1544ea0e189
hex295bcc198

11102110104 has 96 divisors (see below), whose sum is σ = 28806453360. Its totient is φ = 3565486080.

The previous prime is 11102110079. The next prime is 11102110111. The reversal of 11102110104 is 40101120111.

It is a super-3 number, since 3×111021101043 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11102110104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5926512 + ... + 5928384.

Almost surely, 211102110104 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 11102110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403226680).

11102110104 is an abundant number, since it is smaller than the sum of its proper divisors (17704343256).

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

11102110104 is a wasteful number, since it uses less digits than its factorization.

11102110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102110104 its reverse (40101120111), we get a palindrome (51203230215).

The spelling of 11102110104 in words is "eleven billion, one hundred two million, one hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 257 372 514 744 771 961 1028 1542 1873 1922 2056 2883 3084 3746 3844 5619 5766 6168 7492 7688 7967 11238 11532 14984 15934 22476 23064 23901 31868 44952 47802 58063 63736 95604 116126 174189 191208 232252 246977 348378 464504 481361 493954 696756 740931 962722 987908 1393512 1444083 1481862 1799953 1925444 1975816 2888166 2963724 3599906 3850888 5399859 5776332 5927448 7199812 10799718 11552664 14399624 14922191 21599436 29844382 43198872 44766573 59688764 89533146 119377528 179066292 358132584 462587921 925175842 1387763763 1850351684 2775527526 3700703368 5551055052 11102110104