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202000010010 = 235173797110359
BaseRepresentation
bin1011110000100000100…
…0111000101100011010
3201022101201122201110020
42330020020320230122
511302144000310020
6232444133131310
720410514516661
oct2741010705432
9638351581406
10202000010010
1178738815337
1233195489b36
131608279ac56
149ac397ddd8
1553c3d39c40
hex2f08238b1a

202000010010 has 128 divisors (see below), whose sum is σ = 532630909440. Its totient is φ = 48818847744.

The previous prime is 202000009963. The next prime is 202000010053. The reversal of 202000010010 is 10010000202.

It is a happy number.

202000010010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775211 + ... + 1885569.

It is an arithmetic number, because the mean of its divisors is an integer number (4161178980).

Almost surely, 2202000010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266315454720).

202000010010 is an abundant number, since it is smaller than the sum of its proper divisors (330630899430).

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

202000010010 is a wasteful number, since it uses less digits than its factorization.

202000010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110520.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 202000010010 its reverse (10010000202), we get a palindrome (212010010212).

The spelling of 202000010010 in words is "two hundred two billion, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 97 102 111 170 185 194 222 255 291 370 485 510 555 582 629 970 1110 1258 1455 1649 1887 2910 3145 3298 3589 3774 4947 6290 7178 8245 9435 9894 10767 16490 17945 18870 21534 24735 35890 49470 53835 61013 107670 110359 122026 183039 220718 305065 331077 366078 551795 610130 662154 915195 1103590 1655385 1830390 1876103 3310770 3752206 4083283 5628309 8166566 9380515 10704823 11256618 12249849 18761030 20416415 21409646 24499698 28141545 32114469 40832830 53524115 56283090 61249245 64228938 69415811 107048230 122498490 138831622 160572345 181981991 208247433 321144690 347079055 363963982 396078451 416494866 545945973 694158110 792156902 909909955 1041237165 1091891946 1188235353 1819819910 1980392255 2082474330 2376470706 2729729865 3960784510 5459459730 5941176765 6733333667 11882353530 13466667334 20200001001 33666668335 40400002002 67333336670 101000005005 202000010010