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1020002000200 = 2352191327202277
BaseRepresentation
bin11101101011111001101…
…10110101110101001000
310121111210200201022111021
432311330312311311020
5113202431003001300
62100325450442224
7133456412643301
oct16657466656510
93544720638437
101020002000200
113636425a0777
12145824733374
13752551c3a11
1437522acd7a8
151b7ec779d1a
hexed7cdb5d48

1020002000200 has 96 divisors (see below), whose sum is σ = 2498214211200. Its totient is φ = 386233885440.

The previous prime is 1020002000191. The next prime is 1020002000209. The reversal of 1020002000200 is 20002000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020002000191) and next prime (1020002000209).

1020002000200 is a modest number, since divided by 2000200 gives 10200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1020002000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4941462 + ... + 5143738.

It is an arithmetic number, because the mean of its divisors is an integer number (26023064700).

Almost surely, 21020002000200 is an apocalyptic number.

1020002000200 is a gapful number since it is divisible by the number (10) 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 1020002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249107105600).

1020002000200 is an abundant number, since it is smaller than the sum of its proper divisors (1478212211000).

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

1020002000200 is a wasteful number, since it uses less digits than its factorization.

1020002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203639 (or 203630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1020002000200 its reverse (20002000201), we get a palindrome (1040004000401).

Subtracting from 1020002000200 its reverse (20002000201), we obtain a palindrome (999999999999).

The spelling of 1020002000200 in words is "one trillion, twenty billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1327 1900 2654 3800 5308 6635 10616 13270 25213 26540 33175 50426 53080 66350 100852 126065 132700 201704 202277 252130 265400 404554 504260 630325 809108 1008520 1011385 1260650 1618216 2022770 2521300 3843263 4045540 5042600 5056925 7686526 8091080 10113850 15373052 19216315 20227700 30746104 38432630 40455400 76865260 96081575 153730520 192163150 268421579 384326300 536843158 768652600 1073686316 1342107895 2147372632 2684215790 5100010001 5368431580 6710539475 10200020002 10736863160 13421078950 20400040004 25500050005 26842157900 40800080008 51000100010 53684315800 102000200020 127500250025 204000400040 255000500050 510001000100 1020002000200