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1205253236231 = 11451724256913
BaseRepresentation
bin10001100010011110101…
…100001110011000000111
311021012222011121011100022
4101202132230032120013
5124221324312024411
62321404035405355
7153035204321402
oct21423654163007
94235864534308
101205253236231
11425166038240
12175704a5385b
1389868a50005
14424980a8d39
1521540eb4edb
hex1189eb0e607

1205253236231 has 8 divisors (see below), whose sum is σ = 1315112849424. Its totient is φ = 1095442145920.

The previous prime is 1205253236197. The next prime is 1205253236261. The reversal of 1205253236231 is 1326323525021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1205253236231 - 238 = 930375329287 is a prime.

It is a super-2 number, since 2×12052532362312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205253236191 and 1205253236200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205253236261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12078770 + ... + 12178143.

It is an arithmetic number, because the mean of its divisors is an integer number (164389106178).

Almost surely, 21205253236231 is an apocalyptic number.

1205253236231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1205253236231 is a deficient number, since it is larger than the sum of its proper divisors (109859613193).

1205253236231 is a wasteful number, since it uses less digits than its factorization.

1205253236231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24261441.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 1205253236231 in words is "one trillion, two hundred five billion, two hundred fifty-three million, two hundred thirty-six thousand, two hundred thirty-one".

Divisors: 1 11 4517 49687 24256913 266826043 109568476021 1205253236231