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10221300331020 = 2232556785001839
BaseRepresentation
bin1001010010111101010011…
…1110011011001000001100
31100012010221222211212101200
42110233110332123020030
52314431210341043040
633423333415105500
72103315231204612
oct224572476331014
940163858755350
1010221300331020
113290913628179
121190b58972290
13591b31374b5c
142749dc0a16b2
1512ad2d38b630
hex94bd4f9b20c

10221300331020 has 36 divisors (see below), whose sum is σ = 31004611004640. Its totient is φ = 2725680088224.

The previous prime is 10221300331009. The next prime is 10221300331057. The reversal of 10221300331020 is 2013300312201.

10221300331020 is a `hidden beast` number, since 10 + 2 + 2 + 1 + 300 + 331 + 0 + 20 = 666.

10221300331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221300330984 and 10221300331002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28392500740 + ... + 28392501099.

Almost surely, 210221300331020 is an apocalyptic number.

10221300331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221300331020 is an abundant number, since it is smaller than the sum of its proper divisors (20783310673620).

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

10221300331020 is a wasteful number, since it uses less digits than its factorization.

10221300331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56785001854 (or 56785001849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10221300331020 its reverse (2013300312201), we get a palindrome (12234600643221).

The spelling of 10221300331020 in words is "ten trillion, two hundred twenty-one billion, three hundred million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56785001839 113570003678 170355005517 227140007356 283925009195 340710011034 511065016551 567850018390 681420022068 851775027585 1022130033102 1135700036780 1703550055170 2044260066204 2555325082755 3407100110340 5110650165510 10221300331020