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13211220330132 = 2231131571526511
BaseRepresentation
bin1100000000111111101000…
…0110000100011010010100
31201202222110122211001010120
43000033322012010122110
53212423034401031012
644033052325151540
72532323232651216
oct300177206043224
951688418731116
1013211220330132
114233935508000
12159450ab5b5b0
1374aa74756996
143395d836c5b6
1517d9c2bbd58c
hexc03fa184694

13211220330132 has 96 divisors (see below), whose sum is σ = 33928130009088. Its totient is φ = 4000844188000.

The previous prime is 13211220330127. The next prime is 13211220330193. The reversal of 13211220330132 is 23103302211231.

It is a super-2 number, since 2×132112203301322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 24828757 + ... + 25355267.

It is an arithmetic number, because the mean of its divisors is an integer number (353418020928).

Almost surely, 213211220330132 is an apocalyptic number.

13211220330132 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 13211220330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964065004544).

13211220330132 is an abundant number, since it is smaller than the sum of its proper divisors (20716909678956).

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

13211220330132 is a wasteful number, since it uses less digits than its factorization.

13211220330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528122 (or 528098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13211220330132 its reverse (23103302211231), we get a palindrome (36314522541363).

The spelling of 13211220330132 in words is "thirteen trillion, two hundred eleven billion, two hundred twenty million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 1571 2662 3142 3993 4713 5324 6284 7986 9426 15972 17281 18852 34562 51843 69124 103686 190091 207372 380182 526511 570273 760364 1053022 1140546 1579533 2091001 2106044 2281092 3159066 4182002 5791621 6273003 6318132 8364004 11583242 12546006 17374863 23166484 25092012 34749726 63707831 69499452 127415662 191123493 254831324 382246986 700786141 764493972 827148781 1401572282 1654297562 2102358423 2481446343 2803144564 3308595124 4204716846 4962892686 8409433692 9098636591 9925785372 18197273182 27295909773 36394546364 54591819546 100085002501 109183639092 200170005002 300255007503 400340010004 600510015006 1100935027511 1201020030012 2201870055022 3302805082533 4403740110044 6605610165066 13211220330132