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11304354100 = 22521353191859
BaseRepresentation
bin10101000011100101…
…01100000100110100
31002011211010200120111
422201302230010310
5141122403312400
65105415312404
7550063265404
oct124162540464
932154120514
1011304354100
114881016606
12223597b704
1310b1cbb230
14793498804
1546265d3ba
hex2a1cac134

11304354100 has 144 divisors (see below), whose sum is σ = 27088266240. Its totient is φ = 4068979200.

The previous prime is 11304354059. The next prime is 11304354107. The reversal of 11304354100 is 145340311.

It is a super-3 number, since 3×113043541003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304354107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13159471 + ... + 13160329.

It is an arithmetic number, because the mean of its divisors is an integer number (188112960).

Almost surely, 211304354100 is an apocalyptic number.

11304354100 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 11304354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544133120).

11304354100 is an abundant number, since it is smaller than the sum of its proper divisors (15783912140).

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

11304354100 is a wasteful number, since it uses less digits than its factorization.

11304354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11304354100 its reverse (145340311), we get a palindrome (11449694411).

The spelling of 11304354100 in words is "eleven billion, three hundred four million, three hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 191 212 260 265 325 382 530 650 689 764 859 955 1060 1300 1325 1378 1718 1910 2483 2650 2756 3436 3445 3820 4295 4775 4966 5300 6890 8590 9550 9932 10123 11167 12415 13780 17180 17225 19100 20246 21475 22334 24830 34450 40492 42950 44668 45527 49660 50615 55835 62075 68900 85900 91054 101230 111670 124150 131599 164069 182108 202460 223340 227635 248300 253075 263198 279175 328138 455270 506150 526396 558350 591851 656276 657995 820345 910540 1012300 1116700 1138175 1183702 1315990 1640690 2132897 2276350 2367404 2631980 2959255 3281380 3289975 4101725 4265794 4552700 5918510 6579950 8203450 8531588 8695657 10664485 11837020 13159900 14796275 16406900 17391314 21328970 29592550 34782628 42657940 43478285 53322425 59185100 86956570 106644850 113043541 173913140 213289700 217391425 226087082 434782850 452174164 565217705 869565700 1130435410 2260870820 2826088525 5652177050 11304354100