Search a number
-
+
1221221320 = 235112995707
BaseRepresentation
bin100100011001010…
…0101101111001000
310011002221110201021
41020302211233020
510000113040240
6321103002224
742156132004
oct11062455710
93132843637
101221221320
11577390720
122a0b99374
13166014787
14b8295704
157232d54a
hex48ca5bc8

1221221320 has 64 divisors (see below), whose sum is σ = 3100939200. Its totient is φ = 428762880.

The previous prime is 1221221279. The next prime is 1221221327. The reversal of 1221221320 is 231221221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221221294 and 1221221303.

It is not an unprimeable number, because it can be changed into a prime (1221221327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35094 + ... + 60613.

It is an arithmetic number, because the mean of its divisors is an integer number (48452175).

Almost surely, 21221221320 is an apocalyptic number.

1221221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221221320 is an abundant number, since it is smaller than the sum of its proper divisors (1879717880).

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

1221221320 is a wasteful number, since it uses less digits than its factorization.

1221221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95758 (or 95754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221221320 is about 34945.9771647610. The cubic root of 1221221320 is about 1068.8861731805.

Adding to 1221221320 its reverse (231221221), we get a palindrome (1452442541).

Subtracting from 1221221320 its reverse (231221221), we obtain a palindrome (990000099).

The spelling of 1221221320 in words is "one billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 95707 191414 382828 478535 765656 957070 1052777 1914140 2105554 2775503 3828280 4211108 5263885 5551006 8422216 10527770 11102012 13877515 21055540 22204024 27755030 30530533 42111080 55510060 61061066 111020120 122122132 152652665 244244264 305305330 610610660 1221221320