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200001021010 = 25725323333301
BaseRepresentation
bin1011101001000011111…
…1010110010001010010
3201010020102012120001121
42322100333112101102
511234100230133020
6231513523552454
720310132425500
oct2722077262122
9633212176047
10200001021010
11779023a930a
1232917b2b72a
1315b245b8b1b
1499742a9670
1553085c6baa
hex2e90fd6452

200001021010 has 96 divisors (see below), whose sum is σ = 426991314672. Its totient is φ = 67228761600.

The previous prime is 200001021007. The next prime is 200001021049. The reversal of 200001021010 is 10120100002.

200001021010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62271708849 + 137729312161 = 249543^2 + 371119^2 .

It is a super-2 number, since 2×2000010210102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 200001020984 and 200001021002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60586360 + ... + 60589660.

Almost surely, 2200001021010 is an apocalyptic number.

200001021010 is an abundant number, since it is smaller than the sum of its proper divisors (226990293662).

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

200001021010 is a wasteful number, since it uses less digits than its factorization.

200001021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200001021010 its reverse (10120100002), we get a palindrome (210121121012).

The spelling of 200001021010 in words is "two hundred billion, one million, twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 1855 2333 2597 3301 3710 4666 5194 6602 11665 12985 16331 16505 23107 23330 25970 32662 33010 46214 81655 114317 115535 123649 161749 163310 174953 228634 231070 247298 323498 349906 571585 618245 808745 865543 874765 1143170 1224671 1236490 1617490 1731086 1749530 2449342 4327715 6058801 6123355 7701233 8572697 8655430 12117602 12246710 15402466 17145394 30294005 38506165 42863485 53908631 60588010 77012330 85726970 107817262 269543155 377360417 408165349 539086310 754720834 816330698 1886802085 2040826745 2857157443 3773604170 4081653490 5714314886 14285787215 20000102101 28571574430 40000204202 100000510505 200001021010