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113010231113100 = 223352252116602793
BaseRepresentation
bin11001101100100000111110…
…101011100111010110001100
3112211010200011022110110021000
4121230200332223213112030
5104303024423131104400
61040204103343340300
732542501610016006
oct3154407653472614
9484120138413230
10113010231113100
1133010408324642
12108121818b1690
134b09a8564a629
141dc9a1d95b376
15d0e9c7267600
hex66c83eae758c

113010231113100 has 144 divisors (see below), whose sum is σ = 363451099342240. Its totient is φ = 30124105804800.

The previous prime is 113010231113093. The next prime is 113010231113119. The reversal of 113010231113100 is 1311132010311.

113010231113100 is a `hidden beast` number, since 1 + 1 + 30 + 10 + 2 + 311 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×1130102311131002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1494697 + ... + 15108096.

Almost surely, 2113010231113100 is an apocalyptic number.

113010231113100 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 113010231113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181725549671120).

113010231113100 is an abundant number, since it is smaller than the sum of its proper divisors (250440868229140).

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

113010231113100 is a wasteful number, since it uses less digits than its factorization.

113010231113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16605337 (or 16605324 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113010231113100 its reverse (1311132010311), we get a palindrome (114321363123411).

The spelling of 113010231113100 in words is "one hundred thirteen trillion, ten billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2521 2700 5042 7563 10084 12605 15126 22689 25210 30252 37815 45378 50420 63025 68067 75630 90756 113445 126050 136134 151260 189075 226890 252100 272268 340335 378150 453780 567225 680670 756300 1134450 1361340 1701675 2268900 3403350 6806700 16602793 33205586 49808379 66411172 83013965 99616758 149425137 166027930 199233516 249041895 298850274 332055860 415069825 448275411 498083790 597700548 747125685 830139650 896550822 996167580 1245209475 1494251370 1660279300 1793101644 2241377055 2490418950 2988502740 3735628425 4482754110 4980837900 7471256850 8965508220 11206885275 14942513700 22413770550 41855641153 44827541100 83711282306 125566923459 167422564612 209278205765 251133846918 376700770377 418556411530 502267693836 627834617295 753401540754 837112823060 1046391028825 1130102311131 1255669234590 1506803081508 1883503851885 2092782057650 2260204622262 2511338469180 3139173086475 3767007703770 4185564115300 4520409244524 5650511555655 6278346172950 7534015407540 9417519259425 11301023111310 12556692345900 18835038518850 22602046222620 28252557778275 37670077037700 56505115556550 113010231113100