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1104351331100 = 2252711492514159
BaseRepresentation
bin10000000100100000011…
…110000000001100011100
310220120112010212021211212
4100010200132000030130
5121043202420043400
62203155413403552
7142533566301023
oct20044036001434
93816463767755
101104351331100
113963975994a6
1215a0450395b8
13801a842a9c4
143b6453538ba
151dad79c4335
hex1012078031c

1104351331100 has 144 divisors (see below), whose sum is σ = 2456842752000. Its totient is φ = 430768800000.

The previous prime is 1104351331099. The next prime is 1104351331117. The reversal of 1104351331100 is 11331534011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265530821 + ... + 265534979.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408000).

Almost surely, 21104351331100 is an apocalyptic number.

1104351331100 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 1104351331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228421376000).

1104351331100 is an abundant number, since it is smaller than the sum of its proper divisors (1352491420900).

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

1104351331100 is a wasteful number, since it uses less digits than its factorization.

1104351331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 1104351331100 its reverse (11331534011), we get a palindrome (1115682865111).

The spelling of 1104351331100 in words is "one trillion, one hundred four billion, three hundred fifty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 149 251 284 298 355 502 596 710 745 1004 1255 1420 1490 1775 2510 2980 3550 3725 4159 5020 6275 7100 7450 8318 10579 12550 14900 16636 17821 20795 21158 25100 35642 37399 41590 42316 52895 71284 74798 83180 89105 103975 105790 149596 178210 186995 207950 211580 264475 295289 356420 373990 415900 445525 528950 590578 619691 747980 891050 934975 1043909 1057900 1181156 1239382 1476445 1782100 1869950 2087818 2478764 2655329 2952890 3098455 3739900 4175636 5219545 5310658 5905780 6196910 7382225 10439090 10621316 12393820 13276645 14764450 15492275 20878180 26097725 26553290 29528900 30984550 43998061 52195450 53106580 61969100 66383225 74117539 87996122 104390900 132766450 148235078 155542441 175992244 219990305 265532900 296470156 311084882 370587695 439980610 622169764 741175390 777712205 879961220 1099951525 1482350780 1555424410 1852938475 2199903050 3110848820 3705876950 3888561025 4399806100 7411753900 7777122050 11043513311 15554244100 22087026622 44174053244 55217566555 110435133110 220870266220 276087832775 552175665550 1104351331100