Search a number
-
+
10021010000202 = 2341913693237763
BaseRepresentation
bin1001000111010011001010…
…1111011100100101001010
31022110222222102020211220000
42101310302233130211022
52303141012030001302
633151331034143430
72052664653402225
oct221646257344512
938428872224800
1010021010000202
113213982997153
12115a17bb81b76
13578c91b61cc6
1426903b6065bc
15125a096b831c
hex91d32bdc94a

10021010000202 has 80 divisors (see below), whose sum is σ = 23638125968160. Its totient is φ = 3164285059488.

The previous prime is 10021010000191. The next prime is 10021010000207. The reversal of 10021010000202 is 20200001012001.

10021010000202 is digitally balanced in base 2, 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 (9).

It is not an unprimeable number, because it can be changed into a prime (10021010000207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42028173 + ... + 42265935.

It is an arithmetic number, because the mean of its divisors is an integer number (295476574602).

Almost surely, 210021010000202 is an apocalyptic number.

10021010000202 is an abundant number, since it is smaller than the sum of its proper divisors (13617115967958).

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

10021010000202 is a wasteful number, since it uses less digits than its factorization.

10021010000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251489 (or 251480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021010000202 its reverse (20200001012001), we get a palindrome (30221011012203).

The spelling of 10021010000202 in words is "ten trillion, twenty-one billion, ten million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 13693 27386 41079 82158 123237 237763 246474 260167 369711 475526 520334 713289 739422 780501 1109133 1426578 1561002 2139867 2218266 2341503 4279734 4517497 4683006 6419601 7024509 9034994 12839202 13552491 14049018 19258803 21073527 27104982 38517606 40657473 42147054 81314946 121972419 243944838 365917257 731834514 3255688759 6511377518 9767066277 19534132554 29301198831 58602397662 61858086421 87903596493 123716172842 175807192986 185574259263 263710789479 371148518526 527421578958 556722777789 1113445555578 1670168333367 3340336666734 5010505000101 10021010000202