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200104041000 = 23353379175993
BaseRepresentation
bin1011101001011100100…
…0010101101000101000
3201010111121001111220210
42322113020111220220
511234303113303000
6231532044021120
720312523166353
oct2722710255050
9633447044823
10200104041000
11779555727a6
12329465317a0
1315b3ca490b6
149983c4529a
155312676350
hex2e97215a28

200104041000 has 128 divisors (see below), whose sum is σ = 625975459200. Its totient is φ = 53219980800.

The previous prime is 200104040999. The next prime is 200104041001. The reversal of 200104041000 is 140401002.

It is an interprime number because it is at equal distance from previous prime (200104040999) and next prime (200104041001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200104041001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049004 + ... + 1224996.

It is an arithmetic number, because the mean of its divisors is an integer number (4890433275).

Almost surely, 2200104041000 is an apocalyptic number.

200104041000 is a gapful number since it is divisible by the number (20) 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 200104041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312987729600).

200104041000 is an abundant number, since it is smaller than the sum of its proper divisors (425871418200).

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

200104041000 is a wasteful number, since it uses less digits than its factorization.

200104041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176396 (or 176382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200104041000 its reverse (140401002), we get a palindrome (200244442002).

The spelling of 200104041000 in words is "two hundred billion, one hundred four million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 379 500 600 750 758 1000 1137 1500 1516 1895 2274 3000 3032 3790 4548 5685 7580 9096 9475 11370 15160 18950 22740 28425 37900 45480 47375 56850 75800 94750 113700 142125 175993 189500 227400 284250 351986 379000 527979 568500 703972 879965 1055958 1137000 1407944 1759930 2111916 2639895 3519860 4223832 4399825 5279790 7039720 8799650 10559580 13199475 17599300 21119160 21999125 26398950 35198600 43998250 52797900 65997375 66701347 87996500 105595800 131994750 133402694 175993000 200104041 263989500 266805388 333506735 400208082 527979000 533610776 667013470 800416164 1000520205 1334026940 1600832328 1667533675 2001040410 2668053880 3335067350 4002080820 5002601025 6670134700 8004161640 8337668375 10005202050 13340269400 16675336750 20010404100 25013005125 33350673500 40020808200 50026010250 66701347000 100052020500 200104041000