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200102002212 = 223761271144103
BaseRepresentation
bin1011101001011100000…
…0100011111000100100
3201010111110012221020010
42322113000203320210
511234302103032322
6231531532210220
720312466645360
oct2722700437044
9633443187203
10200102002212
11779543aaa52
1232945909970
1315b3c4b4108
1499838742a0
1553123c220c
hex2e97023e24

200102002212 has 96 divisors (see below), whose sum is σ = 544358047744. Its totient is φ = 56026857600.

The previous prime is 200102002211. The next prime is 200102002229. The reversal of 200102002212 is 212200201002.

It is a super-2 number, since 2×2001020022122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200102002211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1316553 + ... + 1460655.

Almost surely, 2200102002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272179023872).

200102002212 is an abundant number, since it is smaller than the sum of its proper divisors (344256045532).

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

200102002212 is a wasteful number, since it uses less digits than its factorization.

200102002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144449 (or 144447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200102002212 its reverse (212200201002), we get a palindrome (412302203214).

The spelling of 200102002212 in words is "two hundred billion, one hundred two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 271 366 427 542 732 813 854 1084 1281 1626 1708 1897 2562 3252 3794 5124 5691 7588 11382 16531 22764 33062 49593 66124 99186 115717 144103 198372 231434 288206 347151 432309 462868 576412 694302 864618 1008721 1388604 1729236 2017442 3026163 4034884 6052326 8790283 12104652 17580566 26370849 35161132 39051913 52741698 61531981 78103826 105483396 117155739 123063962 156207652 184595943 234311478 246127924 273363391 369191886 468622956 546726782 738383772 820090173 1093453564 1640180346 2382166693 3280360692 4764333386 7146500079 9528666772 14293000158 16675166851 28586000316 33350333702 50025500553 66700667404 100051001106 200102002212