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113122620 = 2232513291667
BaseRepresentation
bin1101011111000…
…01110100111100
321212212020001200
412233201310330
5212424410440
615120335500
72542345362
oct657416474
9255766050
10113122620
1158944776
1231a74590
131a589780
1411049632
159de7c30
hex6be1d3c

113122620 has 144 divisors (see below), whose sum is σ = 382505760. Its totient is φ = 26869248.

The previous prime is 113122613. The next prime is 113122643. The reversal of 113122620 is 26221311.

113122620 is a `hidden beast` number, since 11 + 31 + 2 + 2 + 620 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113122593 and 113122602.

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, 67027 + ... + 68693.

It is an arithmetic number, because the mean of its divisors is an integer number (2656290).

Almost surely, 2113122620 is an apocalyptic number.

113122620 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 113122620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191252880).

113122620 is an abundant number, since it is smaller than the sum of its proper divisors (269383140).

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

113122620 is a wasteful number, since it uses less digits than its factorization.

113122620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113122620 is about 10635.9118085851. The cubic root of 113122620 is about 483.6336218253.

Adding to 113122620 its reverse (26221311), we get a palindrome (139343931).

The spelling of 113122620 in words is "one hundred thirteen million, one hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1667 1740 1885 2262 2340 2610 3334 3393 3770 4524 5001 5220 5655 6668 6786 7540 8335 10002 11310 13572 15003 16670 16965 20004 21671 22620 25005 30006 33340 33930 43342 48343 50010 60012 65013 67860 75015 86684 96686 100020 108355 130026 145029 150030 193372 195039 216710 241715 260052 290058 300060 325065 390078 433420 435087 483430 580116 628459 650130 725145 780156 870174 966860 975195 1256918 1300260 1450290 1740348 1885377 1950390 2175435 2513836 2900580 3142295 3770754 3900780 4350870 5656131 6284590 7541508 8701740 9426885 11312262 12569180 18853770 22624524 28280655 37707540 56561310 113122620