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210212002 = 271113241197
BaseRepresentation
bin11001000011110…
…01010010100010
3112122112212122201
430201321102202
5412303241002
632505323414
75131525660
oct1441712242
9478485581
10210212002
11a8728430
125a49656a
1334721500
141dcbdc30
15136c5087
hexc8794a2

210212002 has 96 divisors (see below), whose sum is σ = 438286464. Its totient is φ = 73382400.

The previous prime is 210211999. The next prime is 210212003. The reversal of 210212002 is 200212012.

It is a self number, because there is not a number n which added to its sum of digits gives 210212002.

It is not an unprimeable number, because it can be changed into a prime (210212003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066968 + ... + 1067164.

It is an arithmetic number, because the mean of its divisors is an integer number (4565484).

Almost surely, 2210212002 is an apocalyptic number.

210212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210212002 is an abundant number, since it is smaller than the sum of its proper divisors (228074462).

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

210212002 is a wasteful number, since it uses less digits than its factorization.

210212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

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

The square root of 210212002 is about 14498.6896649318. The cubic root of 210212002 is about 594.5921475833.

Adding to 210212002 its sum of digits (10), we get a palindrome (210212012).

Adding to 210212002 its reverse (200212012), we get a palindrome (410424014).

It can be divided in two parts, 210 and 212002, that added together give a palindrome (212212).

The spelling of 210212002 in words is "two hundred ten million, two hundred twelve thousand, two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 169 182 197 286 287 338 394 451 533 574 902 1001 1066 1183 1379 1859 2002 2167 2366 2561 2758 3157 3718 3731 4334 5122 5863 6314 6929 7462 8077 11726 13013 13858 15169 16154 17927 26026 28171 30338 33293 35854 41041 48503 56342 56539 66586 76219 82082 88847 97006 105001 113078 152438 177694 197197 210002 233051 366223 394394 466102 533533 621929 732446 735007 1067066 1155011 1243858 1365013 1470014 2310022 2563561 2730026 5127122 8085077 9555091 15015143 16170154 19110182 30030286 105106001 210212002