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200102200100220 = 2235111783170042149
BaseRepresentation
bin101101011111110111101100…
…100011100100010101111100
3222020111120202101011001221110
4231133313230203210111330
5202211433301211201340
61545325403124202020
760101623025660415
oct5537675443442574
9866446671131843
10200102200100220
11588389593372a0
121a539191b39310
138786730836772
14375add8d4a80c
1518201b6515680
hexb5fdec8e457c

200102200100220 has 96 divisors (see below), whose sum is σ = 611564074329600. Its totient is φ = 48482417237760.

The previous prime is 200102200100177. The next prime is 200102200100233. The reversal of 200102200100220 is 22001002201002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200102200100196 and 200102200100205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83844295 + ... + 86197854.

It is an arithmetic number, because the mean of its divisors is an integer number (6370459107600).

Almost surely, 2200102200100220 is an apocalyptic number.

200102200100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102200100220 is an abundant number, since it is smaller than the sum of its proper divisors (411461874229380).

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

200102200100220 is a wasteful number, since it uses less digits than its factorization.

200102200100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170043955 (or 170043953 counting only the distinct ones).

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

Adding to 200102200100220 its reverse (22001002201002), we get a palindrome (222103202301222).

The spelling of 200102200100220 in words is "two hundred trillion, one hundred two billion, two hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1783 3566 5349 7132 8915 10698 17830 19613 21396 26745 35660 39226 53490 58839 78452 98065 106980 117678 196130 235356 294195 392260 588390 1176780 170042149 340084298 510126447 680168596 850210745 1020252894 1700421490 1870463639 2040505788 2550632235 3400842980 3740927278 5101264470 5611390917 7481854556 9352318195 10202528940 11222781834 18704636390 22445563668 28056954585 37409272780 56113909170 112227818340 303185151667 606370303334 909555455001 1212740606668 1515925758335 1819110910002 3031851516670 3335036668337 3638221820004 4547777275005 6063703033340 6670073336674 9095554550010 10005110005011 13340146673348 16675183341685 18191109100020 20010220010022 33350366683370 40020440020044 50025550025055 66700733366740 100051100050110 200102200100220