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13041001600 = 275211370483
BaseRepresentation
bin11000010010100110…
…11110010010000000
31020122211221112002021
430021103132102000
5203201444022400
65554013531224
7641111453554
oct141123362200
936584845067
1013041001600
11559233a580
12263b4a3b14
1312caa293c3
148b9d9d864
15514d5071a
hex3094de480

13041001600 has 96 divisors (see below), whose sum is σ = 35144112240. Its totient is φ = 4742169600.

The previous prime is 13041001577. The next prime is 13041001607. The reversal of 13041001600 is 610014031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13041001607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150042 + ... + 220441.

Almost surely, 213041001600 is an apocalyptic number.

13041001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13041001600 is an abundant number, since it is smaller than the sum of its proper divisors (22103110640).

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

13041001600 is a wasteful number, since it uses less digits than its factorization.

13041001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370518 (or 370501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13041001600 its reverse (610014031), we get a palindrome (13651015631).

The spelling of 13041001600 in words is "thirteen billion, forty-one million, one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 370483 740966 1481932 1852415 2963864 3704830 4075313 5927728 7409660 8150626 9262075 11855456 14819320 16301252 18524150 20376565 23710912 29638640 32602504 37048300 40753130 47421824 59277280 65205008 74096600 81506260 101882825 118554560 130410016 148193200 163012520 203765650 237109120 260820032 296386400 326025040 407531300 521640064 592772800 652050080 815062600 1185545600 1304100160 1630125200 2608200320 3260250400 6520500800 13041001600