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13020412000 = 25537734211
BaseRepresentation
bin11000010000001001…
…11011100001100000
31020121102012110110111
430020010323201200
5203131211141000
65552000341104
7640441450561
oct141004734140
936542173414
1013020412000
115581757282
122634614794
1312c669a7cb
148b7360168
15513134cba
hex30813b860

13020412000 has 96 divisors (see below), whose sum is σ = 32040144864. Its totient is φ = 5200192000.

The previous prime is 13020411977. The next prime is 13020412037. The reversal of 13020412000 is 21402031.

It is a super-2 number, since 2×130204120002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089895 + ... + 3094105.

It is an arithmetic number, because the mean of its divisors is an integer number (333751509).

Almost surely, 213020412000 is an apocalyptic number.

13020412000 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 13020412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020072432).

13020412000 is an abundant number, since it is smaller than the sum of its proper divisors (19019732864).

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

13020412000 is an equidigital number, since it uses as much as digits as its factorization.

13020412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13020412000 its reverse (21402031), we get a palindrome (13041814031).

The spelling of 13020412000 in words is "thirteen billion, twenty million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 773 800 1000 1546 2000 3092 3865 4000 4211 6184 7730 8422 12368 15460 16844 19325 21055 24736 30920 33688 38650 42110 61840 67376 77300 84220 96625 105275 123680 134752 154600 168440 193250 210550 309200 336880 386500 421100 526375 618400 673760 773000 842200 1052750 1546000 1684400 2105500 3092000 3255103 3368800 4211000 6510206 8422000 13020412 16275515 16844000 26040824 32551030 52081648 65102060 81377575 104163296 130204120 162755150 260408240 325510300 406887875 520816480 651020600 813775750 1302041200 1627551500 2604082400 3255103000 6510206000 13020412000