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210021002200 = 235217211292753
BaseRepresentation
bin1100001110011000111…
…0100010101111011000
3202002002201120100020001
43003212032202233120
511420110334032300
6240252102542344
721113342030602
oct3034616425730
9662081510201
10210021002200
11810844204a9
12348537379b4
1316a60480c89
14a244d50172
1556e30d016a
hex30e63a2bd8

210021002200 has 96 divisors (see below), whose sum is σ = 519474407760. Its totient is φ = 78691737600.

The previous prime is 210021002161. The next prime is 210021002201. The reversal of 210021002200 is 2200120012.

210021002200 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021002201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 571024 + ... + 863776.

Almost surely, 2210021002200 is an apocalyptic number.

210021002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259737203880).

210021002200 is an abundant number, since it is smaller than the sum of its proper divisors (309453405560).

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

210021002200 is a wasteful number, since it uses less digits than its factorization.

210021002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292997 (or 292988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210021002200 its reverse (2200120012), we get a palindrome (212221122212).

The spelling of 210021002200 in words is "two hundred ten billion, twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 211 340 422 425 680 844 850 1055 1688 1700 2110 3400 3587 4220 5275 7174 8440 10550 14348 17935 21100 28696 35870 42200 71740 89675 143480 179350 292753 358700 585506 717400 1171012 1463765 2342024 2927530 4976801 5855060 7318825 9953602 11710120 14637650 19907204 24884005 29275300 39814408 49768010 58550600 61770883 99536020 123541766 124420025 199072040 247083532 248840050 308854415 494167064 497680100 617708830 995360200 1050105011 1235417660 1544272075 2100210022 2470835320 3088544150 4200420044 5250525055 6177088300 8400840088 10501050110 12354176600 21002100220 26252625275 42004200440 52505250550 105010501100 210021002200