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102012210 = 2345125941
BaseRepresentation
bin1100001010010…
…01010100110010
321002221202110000
412011021110302
5202103342320
614042250430
72346042456
oct605112462
9232852400
10102012210
1152646313
122a1b6a16
1318199671
14d796666
158e50c90
hex6149532

102012210 has 40 divisors (see below), whose sum is σ = 274301676. Its totient is φ = 27203040.

The previous prime is 102012187. The next prime is 102012217. The reversal of 102012210 is 12210201.

It can be written as a sum of positive squares in 2 ways, for example, as 95707089 + 6305121 = 9783^2 + 2511^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102012192 and 102012201.

It is not an unprimeable number, because it can be changed into a prime (102012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62161 + ... + 63780.

Almost surely, 2102012210 is an apocalyptic number.

102012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012210 is an abundant number, since it is smaller than the sum of its proper divisors (172289466).

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

102012210 is a wasteful number, since it uses less digits than its factorization.

102012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125960 (or 125951 counting only the distinct ones).

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

The square root of 102012210 is about 10100.1094053480. The cubic root of 102012210 is about 467.2515155994.

Adding to 102012210 its reverse (12210201), we get a palindrome (114222411).

The spelling of 102012210 in words is "one hundred two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 125941 251882 377823 629705 755646 1133469 1259410 1889115 2266938 3400407 3778230 5667345 6800814 10201221 11334690 17002035 20402442 34004070 51006105 102012210