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10225205454345 = 357177977187461
BaseRepresentation
bin1001010011001011110110…
…1111010010011000001001
31100012112001011000200111220
42110302331233102120021
52320012210044014340
633425221115312253
72103514060205040
oct224627557223011
940175034020456
1010225205454345
1132925379aa122
12119186874b689
13592304427a0b
14274c8c999557
1512aeab11eed0
hex94cbdbd2609

10225205454345 has 64 divisors (see below), whose sum is σ = 19822215200256. Its totient is φ = 4393895546880.

The previous prime is 10225205454323. The next prime is 10225205454367. The reversal of 10225205454345 is 54345450252201.

10225205454345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10225205454323) and next prime (10225205454367).

It is not a de Polignac number, because 10225205454345 - 214 = 10225205437961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10225205454297 and 10225205454306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2171086 + ... + 5016375.

It is an arithmetic number, because the mean of its divisors is an integer number (309722112504).

Almost surely, 210225205454345 is an apocalyptic number.

10225205454345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10225205454345 is a deficient number, since it is larger than the sum of its proper divisors (9597009745911).

10225205454345 is a wasteful number, since it uses less digits than its factorization.

10225205454345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188290.

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 10225205454345 in words is "ten trillion, two hundred twenty-five billion, two hundred five million, four hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 797 1785 2391 3985 5579 11955 13549 16737 27895 40647 67745 83685 94843 203235 284529 474215 1422645 7187461 21562383 35937305 50312227 107811915 122186837 150936681 251561135 366560511 610934185 754683405 855307859 1832802555 2565923577 4276539295 5728406417 12829617885 17185219251 28642032085 40098844919 85926096255 97382909089 120296534757 200494224595 292148727267 486914545445 601482673785 681680363623 1460743636335 2045041090869 3408401818115 10225205454345