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200102200020 = 223251111678889
BaseRepresentation
bin1011101001011100000…
…1010100001011010100
3201010111110120222120100
42322113001110023110
511234302130400040
6231531540334100
720312501431152
oct2722701241324
9633443528510
10200102200020
1177954525628
12329459a4330
1315b3c553168
1499838c63d2
155312410b30
hex2e970542d4

200102200020 has 36 divisors (see below), whose sum is σ = 606976673940. Its totient is φ = 53360586624.

The previous prime is 200102200013. The next prime is 200102200057. The reversal of 200102200020 is 20002201002.

It can be written as a sum of positive squares in 2 ways, for example, as 26203191876 + 173899008144 = 161874^2 + 417012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200102199975 and 200102200011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555839265 + ... + 555839624.

It is an arithmetic number, because the mean of its divisors is an integer number (16860463165).

Almost surely, 2200102200020 is an apocalyptic number.

200102200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102200020 is an abundant number, since it is smaller than the sum of its proper divisors (406874473920).

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

200102200020 is a wasteful number, since it uses less digits than its factorization.

200102200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111678904 (or 1111678899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200102200020 its reverse (20002201002), we get a palindrome (220104401022).

The spelling of 200102200020 in words is "two hundred billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1111678889 2223357778 3335036667 4446715556 5558394445 6670073334 10005110001 11116788890 13340146668 16675183335 20010220002 22233577780 33350366670 40020440004 50025550005 66700733340 100051100010 200102200020