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200200002002 = 271113175882353
BaseRepresentation
bin1011101001110011011…
…0011001100111010010
3201010202021121211122222
42322130312121213102
511240002200031002
6231545352501042
720315066640140
oct2723466314722
9633667554588
10200200002002
11779a4755710
12329726aa782
1315b568a7360
1499928a4590
15531acce1a2
hex2e9cd999d2

200200002002 has 64 divisors (see below), whose sum is σ = 426917723904. Its totient is φ = 67764695040.

The previous prime is 200200002001. The next prime is 200200002083.

200200002002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (200200002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2907143 + ... + 2975210.

It is an arithmetic number, because the mean of its divisors is an integer number (6670589436).

Almost surely, 2200200002002 is an apocalyptic number.

200200002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200200002002 is an abundant number, since it is smaller than the sum of its proper divisors (226717721902).

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

200200002002 is a wasteful number, since it uses less digits than its factorization.

200200002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882403.

The product of its (nonzero) digits is 16, while the sum is 8.

It can be divided in two parts, 20020000 and 2002, that multiplied together give a square (40080040000 = 2002002).

The spelling of 200200002002 in words is "two hundred billion, two hundred million, two thousand, two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 182 187 221 238 286 374 442 1001 1309 1547 2002 2431 2618 3094 4862 17017 34034 5882353 11764706 41176471 64705883 76470589 82352942 100000001 129411766 152941178 200000002 452941181 535294123 700000007 841176479 905882362 1070588246 1100000011 1300000013 1400000014 1682352958 2200000022 2600000026 5888235353 7700000077 9100000091 11776470706 14300000143 15400000154 18200000182 28600000286 100100001001 200200002002