Search a number
-
+
10212707472000 = 273531119342249
BaseRepresentation
bin1001010010011101010011…
…0011010001001010000000
31100011022210010212101210220
42110213110303101022000
52314311111103101000
633415353020223040
72102562261126525
oct224472463211200
940138703771726
1010212707472000
113288204139aa0
12118b35b09aa80
135910920665a7
14274424b8d14c
1512a9c8cd41a0
hex949d4cd1280

10212707472000 has 256 divisors, whose sum is σ = 36932865840000. Its totient is φ = 2475807744000.

The previous prime is 10212707471999. The next prime is 10212707472007. The reversal of 10212707472000 is 27470721201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10212707472007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9143125 + ... + 10199124.

Almost surely, 210212707472000 is an apocalyptic number.

10212707472000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212707472000 is an abundant number, since it is smaller than the sum of its proper divisors (26720158368000).

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

10212707472000 is a wasteful number, since it uses less digits than its factorization.

10212707472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342292 (or 19342270 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 10212707472000 in words is "ten trillion, two hundred twelve billion, seven hundred seven million, four hundred seventy-two thousand".