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104202132224 = 282323124821
BaseRepresentation
bin110000100001011101…
…1100101101100000000
3100221222000200202222112
41201002323211230000
53201401221212344
6115511513154452
710346140336601
oct1410273455400
9327860622875
10104202132224
1140212429253
12182410bba28
139a98283b08
14508718dda8
152a9d0dac9e
hex1842ee5b00

104202132224 has 108 divisors (see below), whose sum is σ = 224456807232. Its totient is φ = 48226252800.

The previous prime is 104202132211. The next prime is 104202132233. The reversal of 104202132224 is 422231202401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 104202132224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4185734 + ... + 4210554.

Almost surely, 2104202132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104202132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112228403616).

104202132224 is an abundant number, since it is smaller than the sum of its proper divisors (120254675008).

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

104202132224 is an equidigital number, since it uses as much as digits as its factorization.

104202132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914 (or 24877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 104202132224 its reverse (422231202401), we get a palindrome (526433334625).

The spelling of 104202132224 in words is "one hundred four billion, two hundred two million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 368 496 529 713 736 992 1058 1426 1472 1984 2116 2852 2944 3968 4232 5704 5888 7936 8464 11408 16399 16928 22816 24821 32798 33856 45632 49642 65596 67712 91264 99284 131192 135424 182528 198568 262384 397136 524768 570883 769451 794272 1049536 1141766 1538902 1588544 2099072 2283532 3077804 3177088 4198144 4567064 6155608 6354176 9134128 12311216 13130309 17697373 18268256 24622432 26260618 35394746 36536512 49244864 52521236 70789492 73073024 98489728 105042472 141578984 146146048 196979456 210084944 283157968 407039579 420169888 566315936 814079158 840339776 1132631872 1628158316 1680679552 2265263744 3256316632 3361359104 4530527488 6512633264 13025266528 26050533056 52101066112 104202132224