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13301220003444 = 22324110982675841
BaseRepresentation
bin1100000110001110111001…
…1111100100111001110100
31202002120202220002011010100
43001203232133210321310
53220411344310102234
644142255054354100
72541660426364302
oct301435637447164
952076686064110
1013301220003444
114269019a256aa
1215a9a477bb930
137563b8493349
1433dad51c3272
15180edded3399
hexc18ee7e4e74

13301220003444 has 72 divisors (see below), whose sum is σ = 34758577493640. Its totient is φ = 4285915545600.

The previous prime is 13301220003437. The next prime is 13301220003451. The reversal of 13301220003444 is 44430002210331.

13301220003444 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 12 + 200 + 0 + 3 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (13301220003437) and next prime (13301220003451).

It can be written as a sum of positive squares in 4 ways, for example, as 3656394108900 + 9644825894544 = 1912170^2 + 3105612^2 .

It is a super-2 number, since 2×133012200034442 (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 23 ways as a sum of consecutive naturals, for example, 41177037 + ... + 41498804.

It is an arithmetic number, because the mean of its divisors is an integer number (482758020745).

Almost surely, 213301220003444 is an apocalyptic number.

It is an amenable number.

13301220003444 is an abundant number, since it is smaller than the sum of its proper divisors (21457357490196).

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

13301220003444 is a wasteful number, since it uses less digits than its factorization.

13301220003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82676001 (or 82675996 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13301220003444 its reverse (44430002210331), we get a palindrome (57731222213775).

The spelling of 13301220003444 in words is "thirteen trillion, three hundred one billion, two hundred twenty million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 109 123 164 218 246 327 369 436 492 654 738 981 1308 1476 1962 3924 4469 8938 13407 17876 26814 40221 53628 80442 160884 82675841 165351682 248027523 330703364 496055046 744082569 992110092 1488165138 2976330276 3389709481 6779418962 9011666669 10169128443 13558837924 18023333338 20338256886 27035000007 30507385329 36046666676 40676513772 54070000014 61014770658 81105000021 108140000028 122029541316 162210000042 324420000084 369478333429 738956666858 1108435000287 1477913333716 2216870000574 3325305000861 4433740001148 6650610001722 13301220003444