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13303024140 = 2235760752181
BaseRepresentation
bin11000110001110110…
…00000101000001100
31021100002222122102210
430120323000220030
5204221033233030
610040013550420
7650442560640
oct143073005014
937302878383
1013303024140
115707234a2a
1226b31a5410
1313400bb123
14902ac8c20
1552cd5bbb0
hex318ec0a0c

13303024140 has 96 divisors (see below), whose sum is σ = 42640625664. Its totient is φ = 3035623680.

The previous prime is 13303024121. The next prime is 13303024153. The reversal of 13303024140 is 4142030331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 228850 + ... + 281030.

It is an arithmetic number, because the mean of its divisors is an integer number (444173184).

Almost surely, 213303024140 is an apocalyptic number.

13303024140 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 13303024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320312832).

13303024140 is an abundant number, since it is smaller than the sum of its proper divisors (29337601524).

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

13303024140 is a wasteful number, since it uses less digits than its factorization.

13303024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52807 (or 52805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13303024140 its reverse (4142030331), we get a palindrome (17445054471).

The spelling of 13303024140 in words is "thirteen billion, three hundred three million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 607 1214 1821 2428 3035 3642 4249 6070 7284 8498 9105 12140 12747 16996 18210 21245 25494 36420 42490 50988 52181 63735 84980 104362 127470 156543 208724 254940 260905 313086 365267 521810 626172 730534 782715 1043620 1095801 1461068 1565430 1826335 2191602 3130860 3652670 4383204 5479005 7305340 10958010 21916020 31673867 63347734 95021601 126695468 158369335 190043202 221717069 316738670 380086404 443434138 475108005 633477340 665151207 886868276 950216010 1108585345 1330302414 1900432020 2217170690 2660604828 3325756035 4434341380 6651512070 13303024140