Search a number
-
+
1220102201112 = 233947198727017
BaseRepresentation
bin10001110000010011110…
…000100001111100011000
311022122022000112201210120
4101300103300201330120
5124442232130413422
62332301320313240
7154102161410244
oct21602360417430
94278260481716
101220102201112
11430495980343
12178569912820
138b0941c6c72
14430a6215424
1521b0e8e345c
hex11c13c21f18

1220102201112 has 64 divisors (see below), whose sum is σ = 3055126273920. Its totient is φ = 406051776768.

The previous prime is 1220102201107. The next prime is 1220102201117. The reversal of 1220102201112 is 2111022010221.

It is an interprime number because it is at equal distance from previous prime (1220102201107) and next prime (1220102201117).

It is a junction number, because it is equal to n+sod(n) for n = 1220102201091 and 1220102201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220102201117) 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 15 ways as a sum of consecutive naturals, for example, 45147028 + ... + 45174044.

It is an arithmetic number, because the mean of its divisors is an integer number (47736348030).

Almost surely, 21220102201112 is an apocalyptic number.

1220102201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220102201112 is an abundant number, since it is smaller than the sum of its proper divisors (1835024072808).

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

1220102201112 is a wasteful number, since it uses less digits than its factorization.

1220102201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960 (or 29956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220102201112 its reverse (2111022010221), we get a palindrome (3331124211333).

The spelling of 1220102201112 in words is "one trillion, two hundred twenty billion, one hundred two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 947 1894 1987 2841 3788 3974 5682 5961 7576 7948 11364 11922 15896 22728 23844 27017 47688 54034 81051 108068 162102 216136 324204 648408 1881689 3763378 5645067 7526756 11290134 15053512 22580268 25585099 45160536 51170198 53682779 76755297 102340396 107365558 153510594 161048337 204680792 214731116 307021188 322096674 429462232 614042376 644193348 1288386696 50837591713 101675183426 152512775139 203350366852 305025550278 406700733704 610051100556 1220102201112