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200000100020 = 22574142182763
BaseRepresentation
bin1011101001000011101…
…1110101011010110100
3201010020100110202200212
42322100323311122310
511234100011200040
6231513452124552
720310121541420
oct2722073653264
9633210422625
10200000100020
117790192a366
1232917766758
1315b24355866
149974109b80
155308493d65
hex2e90ef56b4

200000100020 has 96 divisors (see below), whose sum is σ = 492881469696. Its totient is φ = 66739276800.

The previous prime is 200000100011. The next prime is 200000100023. The reversal of 200000100020 is 20001000002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 200000099977 and 200000100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375159 + ... + 2457921.

It is an arithmetic number, because the mean of its divisors is an integer number (5134181976).

Almost surely, 2200000100020 is an apocalyptic number.

200000100020 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 200000100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246440734848).

200000100020 is an abundant number, since it is smaller than the sum of its proper divisors (292881369676).

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

200000100020 is a wasteful number, since it uses less digits than its factorization.

200000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83241 (or 83239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 200000100020 its reverse (20001000002), we get a palindrome (220001100022).

The spelling of 200000100020 in words is "two hundred billion, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 421 574 820 842 1148 1435 1684 2105 2870 2947 4210 5740 5894 8420 11788 14735 17261 29470 34522 58940 69044 82763 86305 120827 165526 172610 241654 331052 345220 413815 483308 579341 604135 827630 1158682 1208270 1655260 2317364 2416540 2896705 3393283 5793410 6786566 11586820 13573132 16966415 23752981 33932830 34843223 47505962 67865660 69686446 95011924 118764905 139372892 174216115 237529810 243902561 348432230 475059620 487805122 696864460 975610244 1219512805 1428572143 2439025610 2857144286 4878051220 5714288572 7142860715 10000005001 14285721430 20000010002 28571442860 40000020004 50000025005 100000050010 200000100020