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202100010200 = 235211101909541
BaseRepresentation
bin1011110000111000011…
…0010110110011011000
3201022122200211020220222
42330032012112303120
511302400100311300
6232502104335212
720413140512504
oct2741606266330
9638580736828
10202100010200
117878a206a20
1233202a74508
131609a41186a
149ad2d71304
1553cc9de785
hex2f0e196cd8

202100010200 has 96 divisors (see below), whose sum is σ = 517674924720. Its totient is φ = 72763200000.

The previous prime is 202100010197. The next prime is 202100010209. The reversal of 202100010200 is 2010001202.

202100010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232571 + ... + 676970.

Almost surely, 2202100010200 is an apocalyptic number.

202100010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100010200 is an abundant number, since it is smaller than the sum of its proper divisors (315574914520).

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

202100010200 is a wasteful number, since it uses less digits than its factorization.

202100010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909669 (or 909660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 202100010200 its reverse (2010001202), we get a palindrome (204110011402).

The spelling of 202100010200 in words is "two hundred two billion, one hundred million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 909541 1819082 3638164 4547705 7276328 9095410 10004951 18190820 20009902 22738525 36381640 40019804 45477050 50024755 80039608 90954100 91863641 100049510 181908200 183727282 200099020 250123775 367454564 400198040 459318205 500247550 734909128 918636410 1000495100 1010500051 1837272820 2000990200 2021000102 2296591025 3674545640 4042000204 4593182050 5052500255 8084000408 9186364100 10105000510 18372728200 20210001020 25262501275 40420002040 50525002550 101050005100 202100010200