Search a number
-
+
1212011100102 = 23112101105115727
BaseRepresentation
bin10001101000110001011…
…111011011011111000110
311021212102010201012210210
4101220301133123133012
5124324144320200402
62324442404100250
7153364523240415
oct21506137333706
94255363635723
101212011100102
1142801373a400
12176a90094686
138a3a4b37a2a
14429397d547c
15217d940006c
hex11a317db7c6

1212011100102 has 96 divisors (see below), whose sum is σ = 2693532989952. Its totient is φ = 363270600000.

The previous prime is 1212011100067. The next prime is 1212011100109. The reversal of 1212011100102 is 2010011102121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212011100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77057763 + ... + 77073489.

It is an arithmetic number, because the mean of its divisors is an integer number (28057635312).

Almost surely, 21212011100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212011100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346766494976).

1212011100102 is an abundant number, since it is smaller than the sum of its proper divisors (1481521889850).

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

1212011100102 is a wasteful number, since it uses less digits than its factorization.

1212011100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1212011100102 its reverse (2010011102121), we get a palindrome (3222022202223).

The spelling of 1212011100102 in words is "one trillion, two hundred twelve billion, eleven million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1051 1111 2102 2222 3153 3333 6306 6666 11561 12221 15727 23122 24442 31454 34683 36663 47181 69366 73326 94362 106151 127171 172997 212302 254342 318453 345994 381513 518991 636906 763026 1037982 1167661 1588427 1902967 2335322 3176854 3502983 3805934 4765281 5708901 7005966 9530562 11417802 12844271 16529077 17472697 25688542 33058154 34945394 38532813 49587231 52418091 77065626 99174462 104836182 181819847 192199667 363639694 384399334 545459541 576599001 1090919082 1153198002 1669436777 2000018317 3338873554 4000036634 5008310331 6000054951 10016620662 12000109902 18363804547 36727609094 55091413641 110182827282 202001850017 404003700034 606005550051 1212011100102