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13011222440 = 2354725512713
BaseRepresentation
bin11000001111000011…
…10111111110101000
31020120202220120202102
430013201313332220
5203121333104230
65551031352532
7640300365056
oct140741677650
936522816672
1013011222440
11557754aaa7
122631522748
1312c4800ab8
148b604b1d6
1551241c045
hex307877fa8

13011222440 has 64 divisors (see below), whose sum is σ = 29920872960. Its totient is φ = 5089881600.

The previous prime is 13011222421. The next prime is 13011222491. The reversal of 13011222440 is 4422211031.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4794524 + ... + 4797236.

It is an arithmetic number, because the mean of its divisors is an integer number (467513640).

Almost surely, 213011222440 is an apocalyptic number.

13011222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960436480).

13011222440 is an abundant number, since it is smaller than the sum of its proper divisors (16909650520).

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

13011222440 is a wasteful number, since it uses less digits than its factorization.

13011222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13011222440 its reverse (4422211031), we get a palindrome (17433433471).

The spelling of 13011222440 in words is "thirteen billion, eleven million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2551 2713 5102 5426 10204 10852 12755 13565 20408 21704 25510 27130 51020 54260 102040 108520 119897 127511 239794 255022 479588 510044 599485 637555 959176 1020088 1198970 1275110 2397940 2550220 4795880 5100440 6920863 13841726 27683452 34604315 55366904 69208630 138417260 276834520 325280561 650561122 1301122244 1626402805 2602244488 3252805610 6505611220 13011222440