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202000202100200 = 23527260231554453
BaseRepresentation
bin101101111011011111010110…
…010010100110110111101000
3222111020000211101202122220002
4231323133112102212313220
5202434032403214201300
61553341340050122132
760356014213535150
oct5573372622466750
9874200741678802
10202000202100200
11593aa893a50a99
121a7a4baab80348
1388936ca66446a
1437c4c0d281760
15185474eb8d5d5
hexb7b7d64a6de8

202000202100200 has 96 divisors (see below), whose sum is σ = 536746424780160. Its totient is φ = 69256821100800.

The previous prime is 202000202100197. The next prime is 202000202100241. The reversal of 202000202100200 is 2001202000202.

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 23 ways as a sum of consecutive naturals, for example, 364046174 + ... + 364600626.

It is an arithmetic number, because the mean of its divisors is an integer number (5591108591460).

Almost surely, 2202000202100200 is an apocalyptic number.

202000202100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000202100200 is an abundant number, since it is smaller than the sum of its proper divisors (334746222679960).

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

202000202100200 is a wasteful number, since it uses less digits than its factorization.

202000202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814707 (or 814698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202000202100200 its reverse (2001202000202), we get a palindrome (204001404100402).

The spelling of 202000202100200 in words is "two hundred two trillion, two hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 260231 520462 554453 1040924 1108906 1301155 1821617 2081848 2217812 2602310 2772265 3643234 3881171 4435624 5204620 5544530 6505775 7286468 7762342 9108085 10409240 11089060 13011550 13861325 14572936 15524684 18216170 19405855 22178120 26023100 27722650 31049368 36432340 38811710 45540425 52046200 55445300 72864680 77623420 91080850 97029275 110890600 155246840 182161700 194058550 364323400 388117100 776234200 144285858643 288571717286 577143434572 721429293215 1010001010501 1154286869144 1442858586430 2020002021002 2885717172860 3607146466075 4040004042004 5050005052505 5771434345720 7214292932150 8080008084008 10100010105010 14428585864300 20200020210020 25250025262525 28857171728600 40400040420040 50500050525050 101000101050100 202000202100200