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200004242100 = 223521377366343
BaseRepresentation
bin1011101001000100101…
…1101000101010110100
3201010020122021012120020
42322101023220222310
511234102041221400
6231514121005140
720310202002435
oct2722113505264
9633218235506
10200004242100
11779041a9373
12329190237b0
1315b25175cb0
1499748a748c
155308a112a0
hex2e912e8ab4

200004242100 has 144 divisors (see below), whose sum is σ = 624008310912. Its totient is φ = 49167383040.

The previous prime is 200004242069. The next prime is 200004242107. The reversal of 200004242100 is 1242400002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200004242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200004242107) 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, 2981529 + ... + 3047871.

It is an arithmetic number, because the mean of its divisors is an integer number (4333391048).

Almost surely, 2200004242100 is an apocalyptic number.

200004242100 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 200004242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312004155456).

200004242100 is an abundant number, since it is smaller than the sum of its proper divisors (424004068812).

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

200004242100 is a wasteful number, since it uses less digits than its factorization.

200004242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67146 (or 67139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200004242100 its reverse (1242400002), we get a palindrome (201246642102).

The spelling of 200004242100 in words is "two hundred billion, four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 773 780 975 1300 1546 1950 2319 3092 3865 3900 4638 7730 9276 10049 11595 15460 19325 20098 23190 30147 38650 40196 46380 50245 57975 60294 66343 77300 100490 115950 120588 132686 150735 199029 200980 231900 251225 265372 301470 331715 398058 502450 602940 663430 753675 796116 862459 995145 1004900 1326860 1507350 1658575 1724918 1990290 2587377 3014700 3317150 3449836 3980580 4312295 4975725 5174754 6634300 8624590 9951450 10349508 12936885 17249180 19902900 21561475 25873770 43122950 51283139 51747540 64684425 86245900 102566278 129368850 153849417 205132556 256415695 258737700 307698834 512831390 615397668 666680807 769247085 1025662780 1282078475 1333361614 1538494170 2000042421 2564156950 2666723228 3076988340 3333404035 3846235425 4000084842 5128313900 6666808070 7692470850 8000169684 10000212105 13333616140 15384941700 16667020175 20000424210 33334040350 40000848420 50001060525 66668080700 100002121050 200004242100