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113003103120 = 243517182315193
BaseRepresentation
bin110100100111110000…
…0101000001110010000
3101210200101021102101120
41221033200220032100
53322412243244440
6123525104402240
711110215346065
oct1511740501620
9353611242346
10113003103120
1143a1933aa16
1219a98616380
13a86b7299bb
14567dd96c6c
152e15aa0dd0
hex1a4f828390

113003103120 has 160 divisors (see below), whose sum is σ = 371143959552. Its totient is φ = 28344139776.

The previous prime is 113003103089. The next prime is 113003103139. The reversal of 113003103120 is 21301300311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113003103120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7430244 + ... + 7445436.

Almost surely, 2113003103120 is an apocalyptic number.

113003103120 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 113003103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185571979776).

113003103120 is an abundant number, since it is smaller than the sum of its proper divisors (258140856432).

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

113003103120 is a wasteful number, since it uses less digits than its factorization.

113003103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113003103120 its reverse (21301300311), we get a palindrome (134304403431).

The spelling of 113003103120 in words is "one hundred thirteen billion, three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1823 2040 3646 4080 5469 7292 9115 10938 14584 15193 18230 21876 27345 29168 30386 30991 36460 43752 45579 54690 60772 61982 72920 75965 87504 91158 92973 109380 121544 123964 145840 151930 154955 182316 185946 218760 227895 243088 247928 258281 303860 309910 364632 371892 437520 455790 464865 495856 516562 607720 619820 729264 743784 774843 911580 929730 1033124 1215440 1239640 1291405 1487568 1549686 1823160 1859460 2066248 2479280 2582810 3099372 3646320 3718920 3874215 4132496 5165620 6198744 7437840 7748430 10331240 12397488 15496860 20662480 27696839 30993720 55393678 61987440 83090517 110787356 138484195 166181034 221574712 276968390 332362068 415452585 443149424 470846263 553936780 664724136 830905170 941692526 1107873560 1329448272 1412538789 1661810340 1883385052 2215747120 2354231315 2825077578 3323620680 3766770104 4708462630 5650155156 6647241360 7062693945 7533540208 9416925260 11300310312 14125387890 18833850520 22600620624 28250775780 37667701040 56501551560 113003103120