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13211303220 = 223252916315527
BaseRepresentation
bin11000100110111010…
…00111110100110100
31021002201101201222200
430103131013310310
5204024043200340
610022540024500
7645250140003
oct142335076464
937081351880
1013211303220
11566a488715
122688532130
1313270b5aab
148d4850c3a
15524c90330
hex313747d34

13211303220 has 144 divisors (see below), whose sum is σ = 41713176960. Its totient is φ = 3380444928.

The previous prime is 13211303219. The next prime is 13211303221. The reversal of 13211303220 is 2230311231.

13211303220 is a `hidden beast` number, since 132 + 11 + 303 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (13211303219) and next prime (13211303221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13211303193 and 13211303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211303221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843097 + ... + 858623.

It is an arithmetic number, because the mean of its divisors is an integer number (289674840).

Almost surely, 213211303220 is an apocalyptic number.

13211303220 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 13211303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856588480).

13211303220 is an abundant number, since it is smaller than the sum of its proper divisors (28501873740).

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

13211303220 is a wasteful number, since it uses less digits than its factorization.

13211303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15734 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13211303220 its reverse (2230311231), we get a palindrome (15441614451).

The spelling of 13211303220 in words is "thirteen billion, two hundred eleven million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 163 174 180 261 290 326 348 435 489 522 580 652 815 870 978 1044 1305 1467 1630 1740 1956 2445 2610 2934 3260 4727 4890 5220 5868 7335 9454 9780 14181 14670 15527 18908 23635 28362 29340 31054 42543 46581 47270 56724 62108 70905 77635 85086 93162 94540 139743 141810 155270 170172 186324 212715 232905 279486 283620 310540 425430 450283 465810 558972 698715 850860 900566 931620 1350849 1397430 1801132 2251415 2530901 2701698 2794860 4052547 4502830 5061802 5403396 6754245 7592703 8105094 9005660 10123604 12654505 13508490 15185406 16210188 20262735 22778109 25309010 27016980 30370812 37963515 40525470 45556218 50618020 73396129 75927030 81050940 91112436 113890545 146792258 151854060 220188387 227781090 293584516 366980645 440376774 455562180 660565161 733961290 880753548 1100941935 1321130322 1467922580 2201883870 2642260644 3302825805 4403767740 6605651610 13211303220