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13044130020 = 22325100971821
BaseRepresentation
bin11000010010111110…
…11010000011100100
31020200001211110110200
430021133122003210
5203203244130040
65554204550500
7641150163405
oct141137320344
936601743420
1013044130020
115594086a49
122640552430
1312cb58333c
148ba5759ac
1551526c630
hex3097da0e4

13044130020 has 72 divisors (see below), whose sum is σ = 39606960120. Its totient is φ = 3474938880.

The previous prime is 13044130013. The next prime is 13044130037. The reversal of 13044130020 is 2003144031.

13044130020 is a `hidden beast` number, since 1 + 304 + 41 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 362217024 + 12681912996 = 19032^2 + 112614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13044129975 and 13044130002.

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, 145710 + ... + 217530.

Almost surely, 213044130020 is an apocalyptic number.

13044130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044130020 is an abundant number, since it is smaller than the sum of its proper divisors (26562830100).

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

13044130020 is a wasteful number, since it uses less digits than its factorization.

13044130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72845 (or 72840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13044130020 its reverse (2003144031), we get a palindrome (15047274051).

It can be divided in two parts, 130441 and 30020, that added together give a triangular number (160461 = T566).

The spelling of 13044130020 in words is "thirteen billion, forty-four million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1009 2018 3027 4036 5045 6054 9081 10090 12108 15135 18162 20180 30270 36324 45405 60540 71821 90810 143642 181620 215463 287284 359105 430926 646389 718210 861852 1077315 1292778 1436420 2154630 2585556 3231945 4309260 6463890 12927780 72467389 144934778 217402167 289869556 362336945 434804334 652206501 724673890 869608668 1087010835 1304413002 1449347780 2174021670 2608826004 3261032505 4348043340 6522065010 13044130020