Search a number
-
+
31222320133230 = 23251061326969527
BaseRepresentation
bin1110001100101100000110…
…10011001111010001101110
311002112211021011200010011200
413012112003103033101232
513043021302423230410
6150223200313430330
76401511125163042
oct706260323172156
9132484234603150
1031222320133230
119a48347829646
123603117a0b3a6
131456337ca5985
1479d24dd8a022
1539226e27c3c0
hex1c65834cf46e

31222320133230 has 48 divisors (see below), whose sum is σ = 81254543464224. Its totient is φ = 8318104741440.

The previous prime is 31222320133217. The next prime is 31222320133243. The reversal of 31222320133230 is 3233102322213.

31222320133230 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 320 + 1 + 332 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31222320133217) and next prime (31222320133243).

It is a junction number, because it is equal to n+sod(n) for n = 31222320133194 and 31222320133203.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 163389274 + ... + 163580253.

It is an arithmetic number, because the mean of its divisors is an integer number (1692802988838).

Almost surely, 231222320133230 is an apocalyptic number.

31222320133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31222320133230 is an abundant number, since it is smaller than the sum of its proper divisors (50032223330994).

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

31222320133230 is a wasteful number, since it uses less digits than its factorization.

31222320133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326970601 (or 326970598 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31222320133230 its reverse (3233102322213), we get a palindrome (34455422455443).

The spelling of 31222320133230 in words is "thirty-one trillion, two hundred twenty-two billion, three hundred twenty million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1061 2122 3183 5305 6366 9549 10610 15915 19098 31830 47745 95490 326969527 653939054 980908581 1634847635 1961817162 2942725743 3269695270 4904542905 5885451486 9809085810 14713628715 29427257430 346914668147 693829336294 1040744004441 1734573340735 2081488008882 3122232013323 3469146681470 5203720022205 6244464026646 10407440044410 15611160066615 31222320133230