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13033432131220 = 22529124917991541
BaseRepresentation
bin1011110110101001010100…
…0101111010011010010100
31201010222120021221202120201
42331222111011322122110
53202014432111144340
643415250455110244
72513430412130614
oct275522505723224
951128507852521
1013033432131220
1141754a1725806
121565b72072384
13737080116397
14330b70202a44
1517906976379a
hexbda9517a694

13033432131220 has 48 divisors (see below), whose sum is σ = 28336678650000. Its totient is φ = 5029570990080.

The previous prime is 13033432131199. The next prime is 13033432131257. The reversal of 13033432131220 is 2213123433031.

It can be written as a sum of positive squares in 8 ways, for example, as 347668253956 + 12685763877264 = 589634^2 + 3561708^2 .

It is a super-2 number, since 2×130334321312202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8271351 + ... + 9720190.

It is an arithmetic number, because the mean of its divisors is an integer number (590347471875).

Almost surely, 213033432131220 is an apocalyptic number.

13033432131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033432131220 is an abundant number, since it is smaller than the sum of its proper divisors (15303246518780).

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

13033432131220 is a wasteful number, since it uses less digits than its factorization.

13033432131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17992828 (or 17992826 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13033432131220 its reverse (2213123433031), we get a palindrome (15246555564251).

The spelling of 13033432131220 in words is "thirteen trillion, thirty-three billion, four hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1249 2498 4996 6245 12490 24980 36221 72442 144884 181105 362210 724420 17991541 35983082 71966164 89957705 179915410 359830820 521754689 1043509378 2087018756 2608773445 5217546890 10435093780 22471434709 44942869418 89885738836 112357173545 224714347090 449428694180 651671606561 1303343213122 2606686426244 3258358032805 6516716065610 13033432131220