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13020334441120 = 255233538134359
BaseRepresentation
bin1011110101111000100001…
…1010001100001010100000
31201002201202111100011111101
42331132020122030022200
53201311121104103440
643405243054124144
72512455011451316
oct275361032141240
951081674304441
1013020334441120
11416a990397336
1215635177b0654
13735a7372c3b6
1433028a8c80b6
15178a4e96669a
hexbd78868c2a0

13020334441120 has 48 divisors (see below), whose sum is σ = 32097954913920. Its totient is φ = 4981693176064.

The previous prime is 13020334441019. The next prime is 13020334441123. The reversal of 13020334441120 is 2114443302031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13020334441123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769063500 + ... + 1769070859.

It is an arithmetic number, because the mean of its divisors is an integer number (668707394040).

Almost surely, 213020334441120 is an apocalyptic number.

13020334441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020334441120 is an abundant number, since it is smaller than the sum of its proper divisors (19077620472800).

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

13020334441120 is a wasteful number, since it uses less digits than its factorization.

13020334441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538134397 (or 3538134389 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13020334441120 its reverse (2114443302031), we get a palindrome (15134777743151).

The spelling of 13020334441120 in words is "thirteen trillion, twenty billion, three hundred thirty-four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 3538134359 7076268718 14152537436 17690671795 28305074872 35381343590 56610149744 70762687180 81377090257 113220299488 141525374360 162754180514 283050748720 325508361028 406885451285 566101497440 651016722056 813770902570 1302033444112 1627541805140 2604066888224 3255083610280 6510167220560 13020334441120