Search a number
-
+
13121143040 = 28523445691
BaseRepresentation
bin11000011100001010…
…01100000100000000
31020212102202010110202
430032011030010000
5203333003034130
610005555344332
7643103606225
oct141605140400
936772663422
1013121143040
1156235a7a75
1226622b20a8
131311508c85
148c68a194c
1551bdd1145
hex30e14c100

13121143040 has 72 divisors (see below), whose sum is σ = 32795800128. Its totient is φ = 5020252160.

The previous prime is 13121142989. The next prime is 13121143051. The reversal of 13121143040 is 4034112131.

It is a super-2 number, since 2×131211430402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 193406 + ... + 252285.

It is an arithmetic number, because the mean of its divisors is an integer number (455497224).

Almost surely, 213121143040 is an apocalyptic number.

13121143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121143040 is an abundant number, since it is smaller than the sum of its proper divisors (19674657088).

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

13121143040 is an equidigital number, since it uses as much as digits as its factorization.

13121143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445735 (or 445721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13121143040 its reverse (4034112131), we get a palindrome (17155255171).

The spelling of 13121143040 in words is "thirteen billion, one hundred twenty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 14720 29440 445691 891382 1782764 2228455 3565528 4456910 7131056 8913820 10250893 14262112 17827640 20501786 28524224 35655280 41003572 51254465 57048448 71310560 82007144 102508930 114096896 142621120 164014288 205017860 285242240 328028576 410035720 570484480 656057152 820071440 1312114304 1640142880 2624228608 3280285760 6560571520 13121143040