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13100012220032 = 27476313450917
BaseRepresentation
bin1011111010100001010110…
…0100110010111010000000
31201101100102101010201020222
42332220111210302322000
53204112311112020112
643510021301322212
72521305341423663
oct276502544627200
951340371121228
1013100012220032
1141a07584219a1
121576a53706368
13740430b8603a
143340889476da
1517ab649d7372
hexbea15932e80

13100012220032 has 64 divisors (see below), whose sum is σ = 26695197354240. Its totient is φ = 6400482923520.

The previous prime is 13100012220017. The next prime is 13100012220137. The reversal of 13100012220032 is 23002221000131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×131000122200322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2070638 + ... + 5521554.

It is an arithmetic number, because the mean of its divisors is an integer number (417112458660).

Almost surely, 213100012220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100012220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347598677120).

13100012220032 is an abundant number, since it is smaller than the sum of its proper divisors (13595185134208).

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

13100012220032 is an equidigital number, since it uses as much as digits as its factorization.

13100012220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451609 (or 3451597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13100012220032 its reverse (23002221000131), we get a palindrome (36102233220163).

The spelling of 13100012220032 in words is "thirteen trillion, one hundred billion, twelve million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 631 752 1262 1504 2524 3008 5048 6016 10096 20192 29657 40384 59314 80768 118628 237256 474512 949024 1898048 3450917 3796096 6901834 13803668 27607336 55214672 110429344 162193099 220858688 324386198 441717376 648772396 1297544792 2177528627 2595089584 4355057254 5190179168 8710114508 10380358336 17420229016 20760716672 34840458032 69680916064 102343845469 139361832128 204687690938 278723664256 409375381876 818750763752 1637501527504 3275003055008 6550006110016 13100012220032