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13121150410000 = 24541327988783
BaseRepresentation
bin1011111011110000000110…
…0000100101110100010000
31201110100222112101000121201
42332330001200211310100
53204434104001110000
643523435010200544
72522654224162663
oct276740140456420
951410875330551
1013121150410000
1141a971537a986
12157ab72883154
1374241c2c3359
143350d206d6da
1517b4a062e96a
hexbef01825d10

13121150410000 has 100 divisors (see below), whose sum is σ = 31791588835072. Its totient is φ = 5244499728000.

The previous prime is 13121150409979. The next prime is 13121150410057. The reversal of 13121150410000 is 1405112131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 13121150410000.

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 19 ways as a sum of consecutive naturals, for example, 12775609 + ... + 13764391.

Almost surely, 213121150410000 is an apocalyptic number.

13121150410000 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 13121150410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895794417536).

13121150410000 is an abundant number, since it is smaller than the sum of its proper divisors (18670438425072).

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

13121150410000 is an equidigital number, since it uses as much as digits as its factorization.

13121150410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990138 (or 990117 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 13121150410000 its reverse (1405112131), we get a palindrome (13122555522131).

The spelling of 13121150410000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred fifty million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1327 2000 2500 2654 5000 5308 6635 10000 10616 13270 21232 26540 33175 53080 66350 106160 132700 165875 265400 331750 530800 663500 829375 988783 1327000 1658750 1977566 2654000 3317500 3955132 4943915 6635000 7910264 9887830 13270000 15820528 19775660 24719575 39551320 49439150 79102640 98878300 123597875 197756600 247195750 395513200 494391500 617989375 988783000 1235978750 1312115041 1977566000 2471957500 2624230082 4943915000 5248460164 6560575205 9887830000 10496920328 13121150410 20993840656 26242300820 32802876025 52484601640 65605752050 104969203280 131211504100 164014380125 262423008200 328028760250 524846016400 656057520500 820071900625 1312115041000 1640143801250 2624230082000 3280287602500 6560575205000 13121150410000