Search a number
-
+
1103212320012 = 2233112340375213
BaseRepresentation
bin10000000011011100100…
…101000001010100001100
310220110120202121112101000
4100003130211001110030
5121033334323220022
62202450404420300
7142463425666005
oct20033445012414
93813522545330
101103212320012
11395962659620
121599876a7690
138005646b64a
143b577d7c1ac
151da6c9d46ac
hex100dc94150c

1103212320012 has 96 divisors (see below), whose sum is σ = 3255857256960. Its totient is φ = 319771679040.

The previous prime is 1103212319999. The next prime is 1103212320019. The reversal of 1103212320012 is 2100232123011.

1103212320012 is a `hidden beast` number, since 1 + 10 + 321 + 2 + 320 + 0 + 12 = 666.

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 (1103212320019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20160283 + ... + 20214930.

It is an arithmetic number, because the mean of its divisors is an integer number (33915179760).

Almost surely, 21103212320012 is an apocalyptic number.

1103212320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1103212320012 is an abundant number, since it is smaller than the sum of its proper divisors (2152644936948).

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

1103212320012 is a wasteful number, since it uses less digits than its factorization.

1103212320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40375260 (or 40375252 counting only the distinct ones).

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

Adding to 1103212320012 its reverse (2100232123011), we get a palindrome (3203444443023).

The spelling of 1103212320012 in words is "one trillion, one hundred three billion, two hundred twelve million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 27324 40375213 80750426 121125639 161500852 242251278 363376917 444127343 484502556 726753834 888254686 928629899 1090130751 1332382029 1453507668 1776509372 1857259798 2180261502 2664764058 2785889697 3714519596 3997146087 4360523004 5329528116 5571779394 7994292174 8357669091 10214928889 11143558788 11991438261 15988584348 16715338182 20429857778 23982876522 25073007273 30644786667 33430676364 40859715556 47965753044 50146014546 61289573334 91934360001 100292029092 122579146668 183868720002 275803080003 367737440004 551606160006 1103212320012