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1336226331 = 3112389131151
BaseRepresentation
bin100111110100101…
…0011001000011011
310110010100022221010
41033221103020123
510214033220311
6340331545003
745053510406
oct11751231033
93403308833
101336226331
116262a0690
123135bb163
13183aacc8b
14c9670d3d
157c498da6
hex4fa5321b

1336226331 has 64 divisors (see below), whose sum is σ = 2080235520. Its totient is φ = 755040000.

The previous prime is 1336226329. The next prime is 1336226371.

1336226331 is nontrivially palindromic in base 10.

1336226331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1336226331 - 21 = 1336226329 is a prime.

It is a super-2 number, since 2×13362263312 = 3571001615315443122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1336226371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8849106 + ... + 8849256.

It is an arithmetic number, because the mean of its divisors is an integer number (32503680).

Almost surely, 21336226331 is an apocalyptic number.

1336226331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1336226331 is a deficient number, since it is larger than the sum of its proper divisors (744009189).

1336226331 is a wasteful number, since it uses less digits than its factorization.

1336226331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its digits is 11664, while the sum is 30.

The square root of 1336226331 is about 36554.4297042096. The cubic root of 1336226331 is about 1101.4378802420.

It can be divided in two parts, 13362 and 26331, that added together give a palindrome (39693).

The spelling of 1336226331 in words is "one billion, three hundred thirty-six million, two hundred twenty-six thousand, three hundred thirty-one".

Divisors: 1 3 11 23 33 69 89 131 151 253 267 393 453 759 979 1441 1661 2047 2937 3013 3473 4323 4983 6141 9039 10419 11659 13439 19781 22517 33143 34977 38203 40317 59343 67551 99429 114609 128249 147829 217591 268157 309097 384747 443487 454963 652773 804471 927291 1364889 1760509 2949727 3400067 5004593 5281527 8849181 10200201 15013779 19365599 40491707 58096797 121475121 445408777 1336226331