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1331224120 = 235299711831
BaseRepresentation
bin100111101011000…
…1101111000111000
310102202221012012001
41033112031320320
510211243132440
6340032430344
744663134612
oct11726157070
93382835161
101331224120
11623494426
123119a83b4
13182a4b1a5
14c8b2bdb2
157bd0bb9a
hex4f58de38

1331224120 has 64 divisors (see below), whose sum is σ = 3130747200. Its totient is φ = 508784640.

The previous prime is 1331224019. The next prime is 1331224159. The reversal of 1331224120 is 214221331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106605 + ... + 118435.

It is an arithmetic number, because the mean of its divisors is an integer number (48917925).

Almost surely, 21331224120 is an apocalyptic number.

1331224120 is a gapful number since it is divisible by the number (10) 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 1331224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565373600).

1331224120 is an abundant number, since it is smaller than the sum of its proper divisors (1799523080).

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

1331224120 is a wasteful number, since it uses less digits than its factorization.

1331224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1331224120 is about 36485.9441429162. The cubic root of 1331224120 is about 1100.0617375817.

Adding to 1331224120 its reverse (214221331), we get a palindrome (1545445451).

The spelling of 1331224120 in words is "one billion, three hundred thirty-one million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 776 970 1160 1940 2813 3880 5626 11252 11831 14065 22504 23662 28130 47324 56260 59155 94648 112520 118310 236620 343099 473240 686198 1147607 1372396 1715495 2295214 2744792 3430990 4590428 5738035 6861980 9180856 11476070 13723960 22952140 33280603 45904280 66561206 133122412 166403015 266244824 332806030 665612060 1331224120