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113200333020 = 223253753320699
BaseRepresentation
bin110100101101101000…
…1000000000011011100
3101211012010101201221200
41221123101000003130
53323313241124040
6124000431555500
711115131645265
oct1513321000334
9354163351850
10113200333020
114400a700735
1219b3268bb90
13a8a0554198
14569c25796c
152e2805e630
hex1a5b4400dc

113200333020 has 144 divisors (see below), whose sum is σ = 359309714400. Its totient is φ = 28816639488.

The previous prime is 113200332937. The next prime is 113200333021. The reversal of 113200333020 is 20333002311.

113200333020 is a `hidden beast` number, since 11 + 320 + 0 + 3 + 330 + 2 + 0 = 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 = 113200332984 and 113200333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200333021) 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, 192631 + ... + 513329.

It is an arithmetic number, because the mean of its divisors is an integer number (2495206350).

Almost surely, 2113200333020 is an apocalyptic number.

113200333020 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 113200333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179654857200).

113200333020 is an abundant number, since it is smaller than the sum of its proper divisors (246109381380).

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

113200333020 is a wasteful number, since it uses less digits than its factorization.

113200333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320804 (or 320799 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113200333020 its reverse (20333002311), we get a palindrome (133533335331).

The spelling of 113200333020 in words is "one hundred thirteen billion, two hundred million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 53 60 74 90 106 111 148 159 180 185 212 222 265 318 333 370 444 477 530 555 636 666 740 795 954 1060 1110 1332 1590 1665 1908 1961 2220 2385 3180 3330 3922 4770 5883 6660 7844 9540 9805 11766 17649 19610 23532 29415 35298 39220 58830 70596 88245 117660 176490 320699 352980 641398 962097 1282796 1603495 1924194 2886291 3206990 3848388 4810485 5772582 6413980 9620970 11545164 11865863 14431455 16997047 19241940 23731726 28862910 33994094 35597589 47463452 50991141 57725820 59329315 67988188 71195178 84985235 101982282 106792767 118658630 142390356 152973423 169970470 177987945 203964564 213585534 237317260 254955705 305946846 339940940 355975890 427171068 509911410 533963835 611893692 628890739 711951780 764867115 1019822820 1067927670 1257781478 1529734230 1886672217 2135855340 2515562956 3059468460 3144453695 3773344434 5660016651 6288907390 7546688868 9433361085 11320033302 12577814780 18866722170 22640066604 28300083255 37733444340 56600166510 113200333020