Search a number
-
+
22103203212312 = 23340110067228139
BaseRepresentation
bin1010000011010010011011…
…00100110110110000011000
32220021001020020100202002120
411001221031210312300120
510344114330010243222
6115002023230101240
74440621660244605
oct501511544666030
986231206322076
1022103203212312
117051a08a90822
12258b8ba04a820
13c44427b7c531
14565b2d3516ac
15284e4d3d315c
hex141a4d936c18

22103203212312 has 64 divisors (see below), whose sum is σ = 55401554102400. Its totient is φ = 7348598745600.

The previous prime is 22103203212289. The next prime is 22103203212319. The reversal of 22103203212312 is 21321230230122.

22103203212312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103203212319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96770739 + ... + 96998877.

It is an arithmetic number, because the mean of its divisors is an integer number (865649282850).

Almost surely, 222103203212312 is an apocalyptic number.

It is an amenable number.

22103203212312 is an abundant number, since it is smaller than the sum of its proper divisors (33298350890088).

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

22103203212312 is a wasteful number, since it uses less digits than its factorization.

22103203212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238616 (or 238612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22103203212312 its reverse (21321230230122), we get a palindrome (43424433442434).

The spelling of 22103203212312 in words is "twenty-two trillion, one hundred three billion, two hundred three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 401 802 1203 1604 2406 3208 4812 9624 10067 20134 30201 40268 60402 80536 120804 228139 241608 456278 684417 912556 1368834 1825112 2737668 4036867 5475336 8073734 12110601 16147468 24221202 32294936 48442404 91483739 96884808 182967478 274451217 365934956 548902434 731869912 1097804868 2195609736 2296675313 4593350626 6890025939 9186701252 13780051878 18373402504 27560103756 55120207512 920966800513 1841933601026 2762900401539 3683867202052 5525800803078 7367734404104 11051601606156 22103203212312