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13212003120 = 243555050013
BaseRepresentation
bin11000100110111111…
…10010101100110000
31021002202201022001220
430103133302230300
5204024233044440
610023003025040
7645256113351
oct142337625460
937082638056
1013212003120
11566a916548
12268880b180
13132729c534
148d4993d28
15524d7c8d0
hex3137f2b30

13212003120 has 40 divisors (see below), whose sum is σ = 40957210416. Its totient is φ = 3523200768.

The previous prime is 13212003107. The next prime is 13212003127. The reversal of 13212003120 is 2130021231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13212003120.

It is not an unprimeable number, because it can be changed into a prime (13212003127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27524767 + ... + 27525246.

Almost surely, 213212003120 is an apocalyptic number.

13212003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212003120 is an abundant number, since it is smaller than the sum of its proper divisors (27745207296).

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

13212003120 is a wasteful number, since it uses less digits than its factorization.

13212003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55050029 (or 55050023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13212003120 its reverse (2130021231), we get a palindrome (15342024351).

The spelling of 13212003120 in words is "thirteen billion, two hundred twelve million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 55050013 110100026 165150039 220200052 275250065 330300078 440400104 550500130 660600156 825750195 880800208 1101000260 1321200312 1651500390 2202000520 2642400624 3303000780 4404001040 6606001560 13212003120