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21131430504 = 23323411675591
BaseRepresentation
bin10011101011100010…
…000000101001101000
32000112200111220010020
4103223202000221220
5321234121234004
613412503520440
71345441124052
oct235342005150
960480456106
1021131430504
118a64161558
124118a59120
131cb9c11742
1410466868d2
1583a25e8d9
hex4eb880a68

21131430504 has 128 divisors (see below), whose sum is σ = 56818298880. Its totient is φ = 6532697600.

The previous prime is 21131430449. The next prime is 21131430521. The reversal of 21131430504 is 40503413112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3776749 + ... + 3782339.

It is an arithmetic number, because the mean of its divisors is an integer number (443892960).

Almost surely, 221131430504 is an apocalyptic number.

21131430504 is a gapful number since it is divisible by the number (24) 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 21131430504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409149440).

21131430504 is an abundant number, since it is smaller than the sum of its proper divisors (35686868376).

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

21131430504 is a wasteful number, since it uses less digits than its factorization.

21131430504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21131430504 its reverse (40503413112), we get a palindrome (61634843616).

The spelling of 21131430504 in words is "twenty-one billion, one hundred thirty-one million, four hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 167 184 246 276 328 334 492 501 552 668 943 984 1002 1336 1886 2004 2829 3772 3841 4008 5591 5658 6847 7544 7682 11182 11316 11523 13694 15364 16773 20541 22364 22632 23046 27388 30728 33546 41082 44728 46092 54776 67092 82164 92184 128593 134184 157481 164328 229231 257186 314962 385779 458462 472443 514372 629924 687693 771558 916924 933697 944886 1028744 1259848 1375386 1543116 1833848 1867394 1889772 2750772 2801091 3086232 3734788 3779544 5272313 5501544 5602182 7469576 10544626 11204364 15816939 21089252 21475031 22408728 31633878 38281577 42178504 42950062 63267756 64425093 76563154 85900124 114844731 126535512 128850186 153126308 171800248 229689462 257700372 306252616 459378924 515400744 880476271 918757848 1760952542 2641428813 3521905084 5282857626 7043810168 10565715252 21131430504