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13121004200 = 2352312116291
BaseRepresentation
bin11000011100001001…
…01010001010101000
31020212102111002000112
430032010222022220
5203332434113300
610005552353452
7643102460363
oct141604521250
936772432015
1013121004200
115623512727
122662245888
13131148aa15
148c68670da
1551bda4e35
hex30e12a2a8

13121004200 has 48 divisors (see below), whose sum is σ = 31490424960. Its totient is φ = 5079096000.

The previous prime is 13121004199. The next prime is 13121004203. The reversal of 13121004200 is 240012131.

It is not an unprimeable number, because it can be changed into a prime (13121004203) 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, 1051946 + ... + 1064345.

It is an arithmetic number, because the mean of its divisors is an integer number (656050520).

Almost surely, 213121004200 is an apocalyptic number.

13121004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121004200 is an abundant number, since it is smaller than the sum of its proper divisors (18369420760).

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

13121004200 is a wasteful number, since it uses less digits than its factorization.

13121004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116338 (or 2116329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13121004200 its reverse (240012131), we get a palindrome (13361016331).

The spelling of 13121004200 in words is "thirteen billion, one hundred twenty-one million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 2116291 4232582 8465164 10581455 16930328 21162910 42325820 52907275 65605021 84651640 105814550 131210042 211629100 262420084 328025105 423258200 524840168 656050210 1312100420 1640125525 2624200840 3280251050 6560502100 13121004200