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11311433412 = 22317229472393
BaseRepresentation
bin10101000100011011…
…01100011011000100
31002012022110100120020
422202031230123010
5141131211332122
65110231135140
7550210411656
oct124215543304
932168410506
1011311433412
114885011384
1222382144b0
1310b35c9586
147943bc6d6
154630aac5c
hex2a236c6c4

11311433412 has 144 divisors (see below), whose sum is σ = 29633506560. Its totient is φ = 3352014848.

The previous prime is 11311433407. The next prime is 11311433437. The reversal of 11311433412 is 21433411311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4725688 + ... + 4728080.

It is an arithmetic number, because the mean of its divisors is an integer number (205788240).

Almost surely, 211311433412 is an apocalyptic number.

11311433412 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 11311433412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816753280).

11311433412 is an abundant number, since it is smaller than the sum of its proper divisors (18322073148).

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

11311433412 is a wasteful number, since it uses less digits than its factorization.

11311433412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2491 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 11311433412 its reverse (21433411311), we get a palindrome (32744844723).

The spelling of 11311433412 in words is "eleven billion, three hundred eleven million, four hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 29 34 47 51 58 68 87 94 102 116 141 174 188 204 282 289 348 493 564 578 799 867 986 1156 1363 1479 1598 1734 1972 2393 2397 2726 2958 3196 3468 4089 4786 4794 5452 5916 7179 8178 8381 9572 9588 13583 14358 16356 16762 23171 25143 27166 28716 33524 40681 40749 46342 50286 54332 69397 69513 81362 81498 92684 100572 112471 122043 138794 139026 162724 162996 208191 224942 244086 277588 278052 337413 393907 416382 449884 488172 674826 691577 787814 832764 1179749 1181721 1349652 1383154 1575628 1912007 2074731 2359498 2363442 2766308 3261659 3539247 3824014 4149462 4718996 4726884 5736021 6523318 7078494 7648028 8298924 9784977 11472042 13046636 14156988 19569954 20055733 22944084 32504119 39139908 40111466 55448203 60167199 65008238 80222932 97512357 110896406 120334398 130016476 166344609 195024714 221792812 240668796 332689218 390049428 665378436 942619451 1885238902 2827858353 3770477804 5655716706 11311433412