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13021201000 = 235317765953
BaseRepresentation
bin11000010000001111…
…11100001001101000
31020121110200112202201
430020013330021220
5203131411413000
65552025305544
7640451245063
oct141007741150
936543615681
1013021201000
115582146045
1226349352b4
1312c68b5982
148b74c78da
1551323d96a
hex3081fc268

13021201000 has 64 divisors (see below), whose sum is σ = 32261982480. Its totient is φ = 4902092800.

The previous prime is 13021200989. The next prime is 13021201007. The reversal of 13021201000 is 10212031.

It can be written as a sum of positive squares in 8 ways, for example, as 293299876 + 12727901124 = 17126^2 + 112818^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13021201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365977 + ... + 399976.

Almost surely, 213021201000 is an apocalyptic number.

13021201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021201000 is an abundant number, since it is smaller than the sum of its proper divisors (19240781480).

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

13021201000 is a wasteful number, since it uses less digits than its factorization.

13021201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765991 (or 765977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13021201000 its reverse (10212031), we get a palindrome (13031413031).

The spelling of 13021201000 in words is "thirteen billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 765953 1531906 3063812 3829765 6127624 7659530 13021201 15319060 19148825 26042402 30638120 38297650 52084804 65106005 76595300 95744125 104169608 130212010 153190600 191488250 260424020 325530025 382976500 520848040 651060050 765953000 1302120100 1627650125 2604240200 3255300250 6510600500 13021201000