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13020242240 = 265181224797
BaseRepresentation
bin11000010000001000…
…10010000101000000
31020121101212211121002
430020010102011000
5203131140222430
65551552551132
7640440142625
oct141004220500
936541784532
1013020242240
115581650785
1226345524a8
1312c663b465
148b731834c
155130ee845
hex308112140

13020242240 has 56 divisors (see below), whose sum is σ = 31175885832. Its totient is φ = 5179299840.

The previous prime is 13020242227. The next prime is 13020242321. The reversal of 13020242240 is 4224202031.

It can be written as a sum of positive squares in 4 ways, for example, as 1540405504 + 11479836736 = 39248^2 + 107144^2 .

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

It is a congruent number.

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, 54479 + ... + 170318.

It is an arithmetic number, because the mean of its divisors is an integer number (556712247).

Almost surely, 213020242240 is an apocalyptic number.

13020242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020242240 is an abundant number, since it is smaller than the sum of its proper divisors (18155643592).

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

13020242240 is a wasteful number, since it uses less digits than its factorization.

13020242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224995 (or 224985 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13020242240 its reverse (4224202031), we get a palindrome (17244444271).

The spelling of 13020242240 in words is "thirteen billion, twenty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 7240 11584 14480 28960 57920 224797 449594 899188 1123985 1798376 2247970 3596752 4495940 7193504 8991880 14387008 17983760 35967520 40688257 71935040 81376514 162753028 203441285 325506056 406882570 651012112 813765140 1302024224 1627530280 2604048448 3255060560 6510121120 13020242240