Search a number
-
+
1212003002106 = 23413653881317
BaseRepresentation
bin10001101000110001000…
…000100010011011111010
311021212101120110210110000
4101220301000202123322
5124324140232031411
62324441514333430
7153364364352201
oct21506100423372
94255346423400
101212003002106
1142800a109246
12176a8942a276
138a3a3260b10
14429386c8238
15217d8850956
hex11a310226fa

1212003002106 has 80 divisors (see below), whose sum is σ = 2929173181704. Its totient is φ = 372352484736.

The previous prime is 1212003002083. The next prime is 1212003002107. The reversal of 1212003002106 is 6012003002121.

It can be written as a sum of positive squares in 4 ways, for example, as 572202986481 + 639800015625 = 756441^2 + 799875^2 .

It is a super-2 number, since 2×12120030021062 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1212003002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934560 + ... + 1815876.

Almost surely, 21212003002106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212003002106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464586590852).

1212003002106 is an abundant number, since it is smaller than the sum of its proper divisors (1717170179598).

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

1212003002106 is a wasteful number, since it uses less digits than its factorization.

1212003002106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881997 (or 881988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1212003002106 its reverse (6012003002121), we get a palindrome (7224006004227).

The spelling of 1212003002106 in words is "one trillion, two hundred twelve billion, three million, two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 653 702 1053 1306 1959 2106 3918 5877 8489 11754 16978 17631 25467 35262 50934 52893 76401 105786 152802 229203 458406 687609 881317 1375218 1762634 2643951 5287902 7931853 11457121 15863706 22914242 23795559 34371363 47591118 68742726 71386677 103114089 142773354 206228178 309342267 575500001 618684534 928026801 1151000002 1726500003 1856053602 3453000006 5179500009 7481500013 10359000018 14963000026 15538500027 22444500039 31077000054 44889000078 46615500081 67333500117 93231000162 134667000234 202000500351 404001000702 606001501053 1212003002106