Search a number
-
+
1331420112 = 243311225471
BaseRepresentation
bin100111101011011…
…1101101111010000
310102210022011001000
41033112331233100
510211320420422
6340040542000
744664612201
oct11726755720
93383264030
101331420112
11623608700
12311a81900
13182ab9469
14c8b7d5a8
157bd49cac
hex4f5bdbd0

1331420112 has 120 divisors (see below), whose sum is σ = 4200842240. Its totient is φ = 403444800.

The previous prime is 1331420107. The next prime is 1331420141. The reversal of 1331420112 is 2110241331.

1331420112 is a `hidden beast` number, since 133 + 1 + 420 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39537 + ... + 65007.

Almost surely, 21331420112 is an apocalyptic number.

1331420112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100421120).

1331420112 is an abundant number, since it is smaller than the sum of its proper divisors (2869422128).

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

1331420112 is a wasteful number, since it uses less digits than its factorization.

1331420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25510 (or 25487 counting only the distinct ones).

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

The square root of 1331420112 is about 36488.6299002854. The cubic root of 1331420112 is about 1100.1157211589.

Adding to 1331420112 its reverse (2110241331), we get a palindrome (3441661443).

The spelling of 1331420112 in words is "one billion, three hundred thirty-one million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 25471 26136 50942 52272 76413 101884 152826 203768 229239 280181 305652 407536 458478 560362 611304 687717 840543 916956 1120724 1222608 1375434 1681086 1833912 2241448 2521629 2750868 3081991 3362172 3667824 4482896 5043258 5501736 6163982 6724344 7564887 9245973 10086516 11003472 12327964 13448688 15129774 18491946 20173032 24655928 27737919 30259548 36983892 40346064 49311856 55475838 60519096 73967784 83213757 110951676 121038192 147935568 166427514 221903352 332855028 443806704 665710056 1331420112