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131145223032 = 23321821461431
BaseRepresentation
bin111101000100011011…
…1010100101101111000
3110112111201212121021200
41322020313110231320
54122041134114112
6140125225134200
712321621001005
oct1721067245570
9415451777250
10131145223032
115068907214a
122150032a360
13c4a022a4b5
1464c161a8ac
15362867dcdc
hex1e88dd4b78

131145223032 has 24 divisors (see below), whose sum is σ = 355184979240. Its totient is φ = 43715074320.

The previous prime is 131145223031. The next prime is 131145223051. The reversal of 131145223032 is 230322541131.

131145223032 is a `hidden beast` number, since 1 + 311 + 45 + 2 + 2 + 303 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1311452230322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131145222987 and 131145223005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131145223031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 910730644 + ... + 910730787.

It is an arithmetic number, because the mean of its divisors is an integer number (14799374135).

Almost surely, 2131145223032 is an apocalyptic number.

131145223032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131145223032 is an abundant number, since it is smaller than the sum of its proper divisors (224039756208).

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

131145223032 is a wasteful number, since it uses less digits than its factorization.

131145223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821461443 (or 1821461436 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131145223032 its reverse (230322541131), we get a palindrome (361467764163).

The spelling of 131145223032 in words is "one hundred thirty-one billion, one hundred forty-five million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1821461431 3642922862 5464384293 7285845724 10928768586 14571691448 16393152879 21857537172 32786305758 43715074344 65572611516 131145223032